What is the Greatest Common Factor of 26112 and 26126?

Greatest common factor (GCF) of 26112 and 26126 is 2.

GCF(26112,26126) = 2

We will now calculate the prime factors of 26112 and 26126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26112 and 26126.

How to find the GCF of 26112 and 26126?

We will first find the prime factorization of 26112 and 26126. After we will calculate the factors of 26112 and 26126 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 26126

Prime factors of 26126 are 2, 13063. Prime factorization of 26126 in exponential form is:

26126 = 2¹ × 13063¹

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 26126

List of positive integer factors of 26126 that divides 26112 without a remainder.

1, 2, 13063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26112 and 26126. The biggest common factor number is the GCF number.
So the greatest common factor 26112 and 26126 is 2.

Also check out the Least Common Multiple of 26112 and 26126