What is the Greatest Common Factor of 85932 and 85946?

Greatest common factor (GCF) of 85932 and 85946 is 14.

GCF(85932,85946) = 14

We will now calculate the prime factors of 85932 and 85946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85932 and 85946.

How to find the GCF of 85932 and 85946?

We will first find the prime factorization of 85932 and 85946. After we will calculate the factors of 85932 and 85946 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 85946

Prime factors of 85946 are 2, 7, 877. Prime factorization of 85946 in exponential form is:

85946 = 2¹ × 7² × 877¹

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 85946

List of positive integer factors of 85946 that divides 85932 without a remainder.

1, 2, 7, 14, 49, 98, 877, 1754, 6139, 12278, 42973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85932 and 85946. The biggest common factor number is the GCF number.
So the greatest common factor 85932 and 85946 is 14.

Also check out the Least Common Multiple of 85932 and 85946