What is the Greatest Common Factor of 91364 and 91378?

Greatest common factor (GCF) of 91364 and 91378 is 14.

GCF(91364,91378) = 14

We will now calculate the prime factors of 91364 and 91378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91364 and 91378.

How to find the GCF of 91364 and 91378?

We will first find the prime factorization of 91364 and 91378. After we will calculate the factors of 91364 and 91378 and find the biggest common factor number .

Step-1: Prime Factorization of 91364

Prime factors of 91364 are 2, 7, 13, 251. Prime factorization of 91364 in exponential form is:

91364 = 2² × 7¹ × 13¹ × 251¹

Step-2: Prime Factorization of 91378

Prime factors of 91378 are 2, 7, 61, 107. Prime factorization of 91378 in exponential form is:

91378 = 2¹ × 7¹ × 61¹ × 107¹

Step-3: Factors of 91364

List of positive integer factors of 91364 that divides 91364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 251, 364, 502, 1004, 1757, 3263, 3514, 6526, 7028, 13052, 22841, 45682

Step-4: Factors of 91378

List of positive integer factors of 91378 that divides 91364 without a remainder.

1, 2, 7, 14, 61, 107, 122, 214, 427, 749, 854, 1498, 6527, 13054, 45689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91364 and 91378. The biggest common factor number is the GCF number.
So the greatest common factor 91364 and 91378 is 14.

Also check out the Least Common Multiple of 91364 and 91378