What is the Greatest Common Factor of 91938 and 91952?

Greatest common factor (GCF) of 91938 and 91952 is 14.

GCF(91938,91952) = 14

We will now calculate the prime factors of 91938 and 91952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91938 and 91952.

How to find the GCF of 91938 and 91952?

We will first find the prime factorization of 91938 and 91952. After we will calculate the factors of 91938 and 91952 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91952

Prime factors of 91952 are 2, 7, 821. Prime factorization of 91952 in exponential form is:

91952 = 2⁴ × 7¹ × 821¹

Step-3: Factors of 91938

List of positive integer factors of 91938 that divides 91938 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

Step-4: Factors of 91952

List of positive integer factors of 91952 that divides 91938 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 821, 1642, 3284, 5747, 6568, 11494, 13136, 22988, 45976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91938 and 91952. The biggest common factor number is the GCF number.
So the greatest common factor 91938 and 91952 is 14.

Also check out the Least Common Multiple of 91938 and 91952