What is the Greatest Common Factor of 26098 and 26112?

Greatest common factor (GCF) of 26098 and 26112 is 2.

GCF(26098,26112) = 2

We will now calculate the prime factors of 26098 and 26112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26098 and 26112.

How to find the GCF of 26098 and 26112?

We will first find the prime factorization of 26098 and 26112. After we will calculate the factors of 26098 and 26112 and find the biggest common factor number .

Step-1: Prime Factorization of 26098

Prime factors of 26098 are 2, 13049. Prime factorization of 26098 in exponential form is:

26098 = 2¹ × 13049¹

Step-2: 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-3: Factors of 26098

List of positive integer factors of 26098 that divides 26098 without a remainder.

1, 2, 13049

Step-4: Factors of 26112

List of positive integer factors of 26112 that divides 26098 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26098 and 26112. The biggest common factor number is the GCF number.
So the greatest common factor 26098 and 26112 is 2.

Also check out the Least Common Multiple of 26098 and 26112