What is the Greatest Common Factor of 86112 and 86124?

Greatest common factor (GCF) of 86112 and 86124 is 12.

GCF(86112,86124) = 12

We will now calculate the prime factors of 86112 and 86124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86112 and 86124.

How to find the GCF of 86112 and 86124?

We will first find the prime factorization of 86112 and 86124. After we will calculate the factors of 86112 and 86124 and find the biggest common factor number .

Step-1: Prime Factorization of 86112

Prime factors of 86112 are 2, 3, 13, 23. Prime factorization of 86112 in exponential form is:

86112 = 2⁵ × 3² × 13¹ × 23¹

Step-2: Prime Factorization of 86124

Prime factors of 86124 are 2, 3, 7177. Prime factorization of 86124 in exponential form is:

86124 = 2² × 3¹ × 7177¹

Step-3: Factors of 86112

List of positive integer factors of 86112 that divides 86112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 23, 24, 26, 32, 36, 39, 46, 48, 52, 69, 72, 78, 92, 96, 104, 117, 138, 144, 156, 184, 207, 208, 234, 276, 288, 299, 312, 368, 414, 416, 468, 552, 598, 624, 736, 828, 897, 936, 1104, 1196, 1248, 1656, 1794, 1872, 2208, 2392, 2691, 3312, 3588, 3744, 4784, 5382, 6624, 7176, 9568, 10764, 14352, 21528, 28704, 43056

Step-4: Factors of 86124

List of positive integer factors of 86124 that divides 86112 without a remainder.

1, 2, 3, 4, 6, 12, 7177, 14354, 21531, 28708, 43062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86112 and 86124. The biggest common factor number is the GCF number.
So the greatest common factor 86112 and 86124 is 12.

Also check out the Least Common Multiple of 86112 and 86124