What is the Greatest Common Factor of 91382 and 91388?

Greatest common factor (GCF) of 91382 and 91388 is 2.

GCF(91382,91388) = 2

We will now calculate the prime factors of 91382 and 91388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91382 and 91388.

How to find the GCF of 91382 and 91388?

We will first find the prime factorization of 91382 and 91388. After we will calculate the factors of 91382 and 91388 and find the biggest common factor number .

Step-1: Prime Factorization of 91382

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

91382 = 2¹ × 45691¹

Step-2: Prime Factorization of 91388

Prime factors of 91388 are 2, 11, 31, 67. Prime factorization of 91388 in exponential form is:

91388 = 2² × 11¹ × 31¹ × 67¹

Step-3: Factors of 91382

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

1, 2, 45691

Step-4: Factors of 91388

List of positive integer factors of 91388 that divides 91382 without a remainder.

1, 2, 4, 11, 22, 31, 44, 62, 67, 124, 134, 268, 341, 682, 737, 1364, 1474, 2077, 2948, 4154, 8308, 22847, 45694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91382 and 91388. The biggest common factor number is the GCF number.
So the greatest common factor 91382 and 91388 is 2.

Also check out the Least Common Multiple of 91382 and 91388