What is the Greatest Common Factor of 91964 and 91984?

Greatest common factor (GCF) of 91964 and 91984 is 4.

GCF(91964,91984) = 4

We will now calculate the prime factors of 91964 and 91984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91964 and 91984.

How to find the GCF of 91964 and 91984?

We will first find the prime factorization of 91964 and 91984. After we will calculate the factors of 91964 and 91984 and find the biggest common factor number .

Step-1: Prime Factorization of 91964

Prime factors of 91964 are 2, 83, 277. Prime factorization of 91964 in exponential form is:

91964 = 2² × 83¹ × 277¹

Step-2: Prime Factorization of 91984

Prime factors of 91984 are 2, 5749. Prime factorization of 91984 in exponential form is:

91984 = 2⁴ × 5749¹

Step-3: Factors of 91964

List of positive integer factors of 91964 that divides 91964 without a remainder.

1, 2, 4, 83, 166, 277, 332, 554, 1108, 22991, 45982

Step-4: Factors of 91984

List of positive integer factors of 91984 that divides 91964 without a remainder.

1, 2, 4, 8, 16, 5749, 11498, 22996, 45992

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91964 and 91984. The biggest common factor number is the GCF number.
So the greatest common factor 91964 and 91984 is 4.

Also check out the Least Common Multiple of 91964 and 91984