What is the Greatest Common Factor of 85920 and 85932?

Greatest common factor (GCF) of 85920 and 85932 is 12.

GCF(85920,85932) = 12

We will now calculate the prime factors of 85920 and 85932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85920 and 85932.

How to find the GCF of 85920 and 85932?

We will first find the prime factorization of 85920 and 85932. After we will calculate the factors of 85920 and 85932 and find the biggest common factor number .

Step-1: Prime Factorization of 85920

Prime factors of 85920 are 2, 3, 5, 179. Prime factorization of 85920 in exponential form is:

85920 = 2⁵ × 3¹ × 5¹ × 179¹

Step-2: 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-3: Factors of 85920

List of positive integer factors of 85920 that divides 85920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 179, 240, 358, 480, 537, 716, 895, 1074, 1432, 1790, 2148, 2685, 2864, 3580, 4296, 5370, 5728, 7160, 8592, 10740, 14320, 17184, 21480, 28640, 42960

Step-4: Factors of 85932

List of positive integer factors of 85932 that divides 85920 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85920 and 85932. The biggest common factor number is the GCF number.
So the greatest common factor 85920 and 85932 is 12.

Also check out the Least Common Multiple of 85920 and 85932