What is the Greatest Common Factor of 91356 and 91376?

Greatest common factor (GCF) of 91356 and 91376 is 4.

GCF(91356,91376) = 4

We will now calculate the prime factors of 91356 and 91376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91356 and 91376.

How to find the GCF of 91356 and 91376?

We will first find the prime factorization of 91356 and 91376. After we will calculate the factors of 91356 and 91376 and find the biggest common factor number .

Step-1: Prime Factorization of 91356

Prime factors of 91356 are 2, 3, 23, 331. Prime factorization of 91356 in exponential form is:

91356 = 2² × 3¹ × 23¹ × 331¹

Step-2: Prime Factorization of 91376

Prime factors of 91376 are 2, 5711. Prime factorization of 91376 in exponential form is:

91376 = 2⁴ × 5711¹

Step-3: Factors of 91356

List of positive integer factors of 91356 that divides 91356 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 331, 662, 993, 1324, 1986, 3972, 7613, 15226, 22839, 30452, 45678

Step-4: Factors of 91376

List of positive integer factors of 91376 that divides 91356 without a remainder.

1, 2, 4, 8, 16, 5711, 11422, 22844, 45688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91356 and 91376. The biggest common factor number is the GCF number.
So the greatest common factor 91356 and 91376 is 4.

Also check out the Least Common Multiple of 91356 and 91376