What is the Greatest Common Factor of 90724 and 90743?

Greatest common factor (GCF) of 90724 and 90743 is 1.

GCF(90724,90743) = 1

We will now calculate the prime factors of 90724 and 90743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90724 and 90743.

How to find the GCF of 90724 and 90743?

We will first find the prime factorization of 90724 and 90743. After we will calculate the factors of 90724 and 90743 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 90743

Prime factors of 90743 are 103, 881. Prime factorization of 90743 in exponential form is:

90743 = 103¹ × 881¹

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 90743

List of positive integer factors of 90743 that divides 90724 without a remainder.

1, 103, 881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90724 and 90743. The biggest common factor number is the GCF number.
So the greatest common factor 90724 and 90743 is 1.

Also check out the Least Common Multiple of 90724 and 90743