What is the Greatest Common Factor of 91931 and 91938?

Greatest common factor (GCF) of 91931 and 91938 is 7.

GCF(91931,91938) = 7

We will now calculate the prime factors of 91931 and 91938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91931 and 91938.

How to find the GCF of 91931 and 91938?

We will first find the prime factorization of 91931 and 91938. After we will calculate the factors of 91931 and 91938 and find the biggest common factor number .

Step-1: Prime Factorization of 91931

Prime factors of 91931 are 7, 23, 571. Prime factorization of 91931 in exponential form is:

91931 = 7¹ × 23¹ × 571¹

Step-2: Prime Factorization of 91938

Prime factors of 91938 are 2, 3, 7, 11, 199. Prime factorization of 91938 in exponential form is:

91938 = 2¹ × 3¹ × 7¹ × 11¹ × 199¹

Step-3: Factors of 91931

List of positive integer factors of 91931 that divides 91931 without a remainder.

1, 7, 23, 161, 571, 3997, 13133

Step-4: Factors of 91938

List of positive integer factors of 91938 that divides 91931 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 199, 231, 398, 462, 597, 1194, 1393, 2189, 2786, 4179, 4378, 6567, 8358, 13134, 15323, 30646, 45969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91931 and 91938. The biggest common factor number is the GCF number.
So the greatest common factor 91931 and 91938 is 7.

Also check out the Least Common Multiple of 91931 and 91938