What is the Greatest Common Factor of 26736 and 26751?

Greatest common factor (GCF) of 26736 and 26751 is 3.

GCF(26736,26751) = 3

We will now calculate the prime factors of 26736 and 26751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26736 and 26751.

How to find the GCF of 26736 and 26751?

We will first find the prime factorization of 26736 and 26751. After we will calculate the factors of 26736 and 26751 and find the biggest common factor number .

Step-1: Prime Factorization of 26736

Prime factors of 26736 are 2, 3, 557. Prime factorization of 26736 in exponential form is:

26736 = 2⁴ × 3¹ × 557¹

Step-2: Prime Factorization of 26751

Prime factors of 26751 are 3, 37, 241. Prime factorization of 26751 in exponential form is:

26751 = 3¹ × 37¹ × 241¹

Step-3: Factors of 26736

List of positive integer factors of 26736 that divides 26736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 557, 1114, 1671, 2228, 3342, 4456, 6684, 8912, 13368

Step-4: Factors of 26751

List of positive integer factors of 26751 that divides 26736 without a remainder.

1, 3, 37, 111, 241, 723, 8917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26736 and 26751. The biggest common factor number is the GCF number.
So the greatest common factor 26736 and 26751 is 3.

Also check out the Least Common Multiple of 26736 and 26751