What is the Greatest Common Factor of 26736 and 26752?

Greatest common factor (GCF) of 26736 and 26752 is 16.

GCF(26736,26752) = 16

We will now calculate the prime factors of 26736 and 26752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26736 and 26752.

How to find the GCF of 26736 and 26752?

We will first find the prime factorization of 26736 and 26752. After we will calculate the factors of 26736 and 26752 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 26752

Prime factors of 26752 are 2, 11, 19. Prime factorization of 26752 in exponential form is:

26752 = 2⁷ × 11¹ × 19¹

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 26752

List of positive integer factors of 26752 that divides 26736 without a remainder.

1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 64, 76, 88, 128, 152, 176, 209, 304, 352, 418, 608, 704, 836, 1216, 1408, 1672, 2432, 3344, 6688, 13376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26736 and 26752. The biggest common factor number is the GCF number.
So the greatest common factor 26736 and 26752 is 16.

Also check out the Least Common Multiple of 26736 and 26752