What is the Greatest Common Factor of 90724 and 90737?

Greatest common factor (GCF) of 90724 and 90737 is 1.

GCF(90724,90737) = 1

We will now calculate the prime factors of 90724 and 90737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90724 and 90737.

How to find the GCF of 90724 and 90737?

We will first find the prime factorization of 90724 and 90737. After we will calculate the factors of 90724 and 90737 and find the biggest common factor number .

Step-1: Prime Factorization of 90724

Prime factors of 90724 are 2, 37, 613. Prime factorization of 90724 in exponential form is:

90724 = 2² × 37¹ × 613¹

Step-2: Prime Factorization of 90737

Prime factors of 90737 are 31, 2927. Prime factorization of 90737 in exponential form is:

90737 = 31¹ × 2927¹

Step-3: Factors of 90724

List of positive integer factors of 90724 that divides 90724 without a remainder.

1, 2, 4, 37, 74, 148, 613, 1226, 2452, 22681, 45362

Step-4: Factors of 90737

List of positive integer factors of 90737 that divides 90724 without a remainder.

1, 31, 2927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90724 and 90737. The biggest common factor number is the GCF number.
So the greatest common factor 90724 and 90737 is 1.

Also check out the Least Common Multiple of 90724 and 90737