What is the Greatest Common Factor of 26112 and 26129?

Greatest common factor (GCF) of 26112 and 26129 is 17.

GCF(26112,26129) = 17

We will now calculate the prime factors of 26112 and 26129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26112 and 26129.

How to find the GCF of 26112 and 26129?

We will first find the prime factorization of 26112 and 26129. After we will calculate the factors of 26112 and 26129 and find the biggest common factor number .

Step-1: Prime Factorization of 26112

Prime factors of 26112 are 2, 3, 17. Prime factorization of 26112 in exponential form is:

26112 = 2⁹ × 3¹ × 17¹

Step-2: Prime Factorization of 26129

Prime factors of 26129 are 17, 29, 53. Prime factorization of 26129 in exponential form is:

26129 = 17¹ × 29¹ × 53¹

Step-3: Factors of 26112

List of positive integer factors of 26112 that divides 26112 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 256, 272, 384, 408, 512, 544, 768, 816, 1088, 1536, 1632, 2176, 3264, 4352, 6528, 8704, 13056

Step-4: Factors of 26129

List of positive integer factors of 26129 that divides 26112 without a remainder.

1, 17, 29, 53, 493, 901, 1537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26112 and 26129. The biggest common factor number is the GCF number.
So the greatest common factor 26112 and 26129 is 17.

Also check out the Least Common Multiple of 26112 and 26129