What is the Greatest Common Factor of 26752 and 26771?

Greatest common factor (GCF) of 26752 and 26771 is 19.

GCF(26752,26771) = 19

We will now calculate the prime factors of 26752 and 26771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26752 and 26771.

How to find the GCF of 26752 and 26771?

We will first find the prime factorization of 26752 and 26771. After we will calculate the factors of 26752 and 26771 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26771

Prime factors of 26771 are 19, 1409. Prime factorization of 26771 in exponential form is:

26771 = 19¹ × 1409¹

Step-3: Factors of 26752

List of positive integer factors of 26752 that divides 26752 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

Step-4: Factors of 26771

List of positive integer factors of 26771 that divides 26752 without a remainder.

1, 19, 1409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26752 and 26771. The biggest common factor number is the GCF number.
So the greatest common factor 26752 and 26771 is 19.

Also check out the Least Common Multiple of 26752 and 26771