What is the Greatest Common Factor of 91724 and 91738?

Greatest common factor (GCF) of 91724 and 91738 is 2.

GCF(91724,91738) = 2

We will now calculate the prime factors of 91724 and 91738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91724 and 91738.

How to find the GCF of 91724 and 91738?

We will first find the prime factorization of 91724 and 91738. After we will calculate the factors of 91724 and 91738 and find the biggest common factor number .

Step-1: Prime Factorization of 91724

Prime factors of 91724 are 2, 23, 997. Prime factorization of 91724 in exponential form is:

91724 = 2² × 23¹ × 997¹

Step-2: Prime Factorization of 91738

Prime factors of 91738 are 2, 45869. Prime factorization of 91738 in exponential form is:

91738 = 2¹ × 45869¹

Step-3: Factors of 91724

List of positive integer factors of 91724 that divides 91724 without a remainder.

1, 2, 4, 23, 46, 92, 997, 1994, 3988, 22931, 45862

Step-4: Factors of 91738

List of positive integer factors of 91738 that divides 91724 without a remainder.

1, 2, 45869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91724 and 91738. The biggest common factor number is the GCF number.
So the greatest common factor 91724 and 91738 is 2.

Also check out the Least Common Multiple of 91724 and 91738