What is the Greatest Common Factor of 85932 and 85944?

Greatest common factor (GCF) of 85932 and 85944 is 12.

GCF(85932,85944) = 12

We will now calculate the prime factors of 85932 and 85944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85932 and 85944.

How to find the GCF of 85932 and 85944?

We will first find the prime factorization of 85932 and 85944. After we will calculate the factors of 85932 and 85944 and find the biggest common factor number .

Step-1: Prime Factorization of 85932

Prime factors of 85932 are 2, 3, 7, 11, 31. Prime factorization of 85932 in exponential form is:

85932 = 2² × 3² × 7¹ × 11¹ × 31¹

Step-2: 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-3: Factors of 85932

List of positive integer factors of 85932 that divides 85932 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 31, 33, 36, 42, 44, 62, 63, 66, 77, 84, 93, 99, 124, 126, 132, 154, 186, 198, 217, 231, 252, 279, 308, 341, 372, 396, 434, 462, 558, 651, 682, 693, 868, 924, 1023, 1116, 1302, 1364, 1386, 1953, 2046, 2387, 2604, 2772, 3069, 3906, 4092, 4774, 6138, 7161, 7812, 9548, 12276, 14322, 21483, 28644, 42966

Step-4: Factors of 85944

List of positive integer factors of 85944 that divides 85932 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85932 and 85944. The biggest common factor number is the GCF number.
So the greatest common factor 85932 and 85944 is 12.

Also check out the Least Common Multiple of 85932 and 85944