What is the Greatest Common Factor of 91944 and 91948?

Greatest common factor (GCF) of 91944 and 91948 is 4.

GCF(91944,91948) = 4

We will now calculate the prime factors of 91944 and 91948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91944 and 91948.

How to find the GCF of 91944 and 91948?

We will first find the prime factorization of 91944 and 91948. After we will calculate the factors of 91944 and 91948 and find the biggest common factor number .

Step-1: Prime Factorization of 91944

Prime factors of 91944 are 2, 3, 1277. Prime factorization of 91944 in exponential form is:

91944 = 2³ × 3² × 1277¹

Step-2: Prime Factorization of 91948

Prime factors of 91948 are 2, 127, 181. Prime factorization of 91948 in exponential form is:

91948 = 2² × 127¹ × 181¹

Step-3: Factors of 91944

List of positive integer factors of 91944 that divides 91944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1277, 2554, 3831, 5108, 7662, 10216, 11493, 15324, 22986, 30648, 45972

Step-4: Factors of 91948

List of positive integer factors of 91948 that divides 91944 without a remainder.

1, 2, 4, 127, 181, 254, 362, 508, 724, 22987, 45974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91944 and 91948. The biggest common factor number is the GCF number.
So the greatest common factor 91944 and 91948 is 4.

Also check out the Least Common Multiple of 91944 and 91948