What is the Greatest Common Factor of 86112 and 86132?

Greatest common factor (GCF) of 86112 and 86132 is 4.

GCF(86112,86132) = 4

We will now calculate the prime factors of 86112 and 86132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86112 and 86132.

How to find the GCF of 86112 and 86132?

We will first find the prime factorization of 86112 and 86132. After we will calculate the factors of 86112 and 86132 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 86132

Prime factors of 86132 are 2, 61, 353. Prime factorization of 86132 in exponential form is:

86132 = 2² × 61¹ × 353¹

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 86132

List of positive integer factors of 86132 that divides 86112 without a remainder.

1, 2, 4, 61, 122, 244, 353, 706, 1412, 21533, 43066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86112 and 86132. The biggest common factor number is the GCF number.
So the greatest common factor 86112 and 86132 is 4.

Also check out the Least Common Multiple of 86112 and 86132