What is the Greatest Common Factor of 86099 and 86112?

Greatest common factor (GCF) of 86099 and 86112 is 13.

GCF(86099,86112) = 13

We will now calculate the prime factors of 86099 and 86112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86099 and 86112.

How to find the GCF of 86099 and 86112?

We will first find the prime factorization of 86099 and 86112. After we will calculate the factors of 86099 and 86112 and find the biggest common factor number .

Step-1: Prime Factorization of 86099

Prime factors of 86099 are 13, 37, 179. Prime factorization of 86099 in exponential form is:

86099 = 13¹ × 37¹ × 179¹

Step-2: 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-3: Factors of 86099

List of positive integer factors of 86099 that divides 86099 without a remainder.

1, 13, 37, 179, 481, 2327, 6623

Step-4: Factors of 86112

List of positive integer factors of 86112 that divides 86099 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86099 and 86112. The biggest common factor number is the GCF number.
So the greatest common factor 86099 and 86112 is 13.

Also check out the Least Common Multiple of 86099 and 86112