What is the greatest common factor of 72 and 90?

Scott Valenzuela

Scott Valenzuela

Answered question

2022-11-26

What is the greatest common factor of 72 and 90?

Answer & Explanation

Lekmarjuqw4

Lekmarjuqw4

Beginner2022-11-27Added 9 answers

Let's use the ladder approach to determine the prime factors of 72 and 90.

Name the key elements from the ladder approach.
Prime factors of 72: 72 = 2 × 2 × 2 × 3 × 3
Prime factors of 90: 90 = 2 × 3 × 3 × 5
Let's multiply the common factors 2, 3, and 3 to determine the GCF of 72 and 90.
2 × 3 × 3 = 18
∴ The greatest common factor of 72 and 90 is 2 × 3 × 3 = 18.

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