What is the Greatest Common Factor of 91950 and 91964?

Greatest common factor (GCF) of 91950 and 91964 is 2.

GCF(91950,91964) = 2

We will now calculate the prime factors of 91950 and 91964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91950 and 91964.

How to find the GCF of 91950 and 91964?

We will first find the prime factorization of 91950 and 91964. After we will calculate the factors of 91950 and 91964 and find the biggest common factor number .

Step-1: Prime Factorization of 91950

Prime factors of 91950 are 2, 3, 5, 613. Prime factorization of 91950 in exponential form is:

91950 = 2¹ × 3¹ × 5² × 613¹

Step-2: 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-3: Factors of 91950

List of positive integer factors of 91950 that divides 91950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 613, 1226, 1839, 3065, 3678, 6130, 9195, 15325, 18390, 30650, 45975

Step-4: Factors of 91964

List of positive integer factors of 91964 that divides 91950 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91950 and 91964. The biggest common factor number is the GCF number.
So the greatest common factor 91950 and 91964 is 2.

Also check out the Least Common Multiple of 91950 and 91964