What is the Greatest Common Factor of 85944 and 85948?

Greatest common factor (GCF) of 85944 and 85948 is 4.

GCF(85944,85948) = 4

We will now calculate the prime factors of 85944 and 85948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85944 and 85948.

How to find the GCF of 85944 and 85948?

We will first find the prime factorization of 85944 and 85948. After we will calculate the factors of 85944 and 85948 and find the biggest common factor number .

Step-1: Prime Factorization of 85944

Prime factors of 85944 are 2, 3, 3581. Prime factorization of 85944 in exponential form is:

85944 = 2³ × 3¹ × 3581¹

Step-2: Prime Factorization of 85948

Prime factors of 85948 are 2, 21487. Prime factorization of 85948 in exponential form is:

85948 = 2² × 21487¹

Step-3: Factors of 85944

List of positive integer factors of 85944 that divides 85944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3581, 7162, 10743, 14324, 21486, 28648, 42972

Step-4: Factors of 85948

List of positive integer factors of 85948 that divides 85944 without a remainder.

1, 2, 4, 21487, 42974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85944 and 85948. The biggest common factor number is the GCF number.
So the greatest common factor 85944 and 85948 is 4.

Also check out the Least Common Multiple of 85944 and 85948