What is the Greatest Common Factor of 26649 and 26656?

Greatest common factor (GCF) of 26649 and 26656 is 7.

GCF(26649,26656) = 7

We will now calculate the prime factors of 26649 and 26656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26649 and 26656.

How to find the GCF of 26649 and 26656?

We will first find the prime factorization of 26649 and 26656. After we will calculate the factors of 26649 and 26656 and find the biggest common factor number .

Step-1: Prime Factorization of 26649

Prime factors of 26649 are 3, 7, 47. Prime factorization of 26649 in exponential form is:

26649 = 3⁴ × 7¹ × 47¹

Step-2: 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-3: Factors of 26649

List of positive integer factors of 26649 that divides 26649 without a remainder.

1, 3, 7, 9, 21, 27, 47, 63, 81, 141, 189, 329, 423, 567, 987, 1269, 2961, 3807, 8883

Step-4: Factors of 26656

List of positive integer factors of 26656 that divides 26649 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26649 and 26656. The biggest common factor number is the GCF number.
So the greatest common factor 26649 and 26656 is 7.

Also check out the Least Common Multiple of 26649 and 26656