What is the Greatest Common Factor of 26752 and 26767?

Greatest common factor (GCF) of 26752 and 26767 is 1.

GCF(26752,26767) = 1

We will now calculate the prime factors of 26752 and 26767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26752 and 26767.

How to find the GCF of 26752 and 26767?

We will first find the prime factorization of 26752 and 26767. After we will calculate the factors of 26752 and 26767 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 26767

Prime factors of 26767 are 13, 29, 71. Prime factorization of 26767 in exponential form is:

26767 = 13¹ × 29¹ × 71¹

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 26767

List of positive integer factors of 26767 that divides 26752 without a remainder.

1, 13, 29, 71, 377, 923, 2059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26752 and 26767. The biggest common factor number is the GCF number.
So the greatest common factor 26752 and 26767 is 1.

Also check out the Least Common Multiple of 26752 and 26767