What is the Greatest Common Factor of 26112 and 26128?

Greatest common factor (GCF) of 26112 and 26128 is 16.

GCF(26112,26128) = 16

We will now calculate the prime factors of 26112 and 26128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26112 and 26128.

How to find the GCF of 26112 and 26128?

We will first find the prime factorization of 26112 and 26128. After we will calculate the factors of 26112 and 26128 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 26128

Prime factors of 26128 are 2, 23, 71. Prime factorization of 26128 in exponential form is:

26128 = 2⁴ × 23¹ × 71¹

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 26128

List of positive integer factors of 26128 that divides 26112 without a remainder.

1, 2, 4, 8, 16, 23, 46, 71, 92, 142, 184, 284, 368, 568, 1136, 1633, 3266, 6532, 13064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26112 and 26128. The biggest common factor number is the GCF number.
So the greatest common factor 26112 and 26128 is 16.

Also check out the Least Common Multiple of 26112 and 26128