What is the Greatest Common Factor of 26656 and 26670?

Greatest common factor (GCF) of 26656 and 26670 is 14.

GCF(26656,26670) = 14

We will now calculate the prime factors of 26656 and 26670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26656 and 26670.

How to find the GCF of 26656 and 26670?

We will first find the prime factorization of 26656 and 26670. After we will calculate the factors of 26656 and 26670 and find the biggest common factor number .

Step-1: Prime Factorization of 26656

Prime factors of 26656 are 2, 7, 17. Prime factorization of 26656 in exponential form is:

26656 = 2⁵ × 7² × 17¹

Step-2: Prime Factorization of 26670

Prime factors of 26670 are 2, 3, 5, 7, 127. Prime factorization of 26670 in exponential form is:

26670 = 2¹ × 3¹ × 5¹ × 7¹ × 127¹

Step-3: Factors of 26656

List of positive integer factors of 26656 that divides 26656 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 49, 56, 68, 98, 112, 119, 136, 196, 224, 238, 272, 392, 476, 544, 784, 833, 952, 1568, 1666, 1904, 3332, 3808, 6664, 13328

Step-4: Factors of 26670

List of positive integer factors of 26670 that divides 26656 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 127, 210, 254, 381, 635, 762, 889, 1270, 1778, 1905, 2667, 3810, 4445, 5334, 8890, 13335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26656 and 26670. The biggest common factor number is the GCF number.
So the greatest common factor 26656 and 26670 is 14.

Also check out the Least Common Multiple of 26656 and 26670