What is the Greatest Common Factor of 91364 and 91382?

Greatest common factor (GCF) of 91364 and 91382 is 2.

GCF(91364,91382) = 2

We will now calculate the prime factors of 91364 and 91382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91364 and 91382.

How to find the GCF of 91364 and 91382?

We will first find the prime factorization of 91364 and 91382. After we will calculate the factors of 91364 and 91382 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 91382

Prime factors of 91382 are 2, 45691. Prime factorization of 91382 in exponential form is:

91382 = 2¹ × 45691¹

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 91382

List of positive integer factors of 91382 that divides 91364 without a remainder.

1, 2, 45691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91364 and 91382. The biggest common factor number is the GCF number.
So the greatest common factor 91364 and 91382 is 2.

Also check out the Least Common Multiple of 91364 and 91382