## Examples to find Highest Common Factor by using Prime Factorization Method

Examples to find highest common factor by using prime factorization method are discussed here step by step.

**1. Find highest common factor (HCF) of 64 and 80 by using prime factorization method.**

*Solution:*

64 = 1 × 2 × 2 × 2 × 2 × 2 × 2.

80 = 1 × 2 × 2 × 2 × 2 × 5.

Common factor of 64 and 80 = 1, 2, 2, 2, 2.

Highest common factor of 64 and 80 = 2 × 2 × 2 × 2 = 16.

**2. Find highest common factor (HCF) of 150 and 350 by using prime factorization method.**

*Solution:*

150 = 1 × 2 × 3 × 5 × 5.

350 = 1 × 2 × 5 × 5 × 7.

Common factor of 150 and 350 = 1, 2, 5, 5.

Highest common factor of 150 and 350 = 2 × 5 × 5 = 50.

**3. Find highest common factor (HCF) of 390, 702 and 468 by using prime factorization method.**

*Solution:*

390 = 1 × 2 × 3× 5 × 13.

702 = 1 × 2 × 3 × 3 × 3 × 13.

468 = 1 × 2 × 2 × 3 × 3 × 13.

Common factor 390, 702 and 468 = 1, 2, 3, 13.

Highest common factor of 390, 702 and 468 = 2 × 3 × 13= 78.

4. Find highest common factor (HCF) of 84 and 105 by using prime factorization method.

*Solution:*

84 = 1 × 2 × 2 × 3 ×7.

105 = 1 × 3 × 5 × 7.

Common factor of 84 and 105 = 1, 3, 7.

Highest common factor of 84 and 105 = 3 × 7 = 21.

**5. Find highest common factor (HCF) of 124, 296 and 228 by using prime factorization method. **

*Solution:*

124 = 1 × 2 × 2 × 31.

296 = 1 × 2 × 2 × 2 × 37.

228 = 1 × 2 × 2 × 3 × 19.

Common factor 124, 296 and 228 = 1, 2, 2.

Highest common factor of 124, 296 and 228 = 2 × 2 = 4.

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