What is the Greatest Common Factor of 91923 and 91938?

Greatest common factor (GCF) of 91923 and 91938 is 3.

GCF(91923,91938) = 3

We will now calculate the prime factors of 91923 and 91938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91923 and 91938.

How to find the GCF of 91923 and 91938?

We will first find the prime factorization of 91923 and 91938. After we will calculate the factors of 91923 and 91938 and find the biggest common factor number .

Step-1: Prime Factorization of 91923

Prime factors of 91923 are 3, 13, 2357. Prime factorization of 91923 in exponential form is:

91923 = 3¹ × 13¹ × 2357¹

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 91923

List of positive integer factors of 91923 that divides 91923 without a remainder.

1, 3, 13, 39, 2357, 7071, 30641

Step-4: Factors of 91938

List of positive integer factors of 91938 that divides 91923 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 91923 and 91938. The biggest common factor number is the GCF number.
So the greatest common factor 91923 and 91938 is 3.

Also check out the Least Common Multiple of 91923 and 91938