What is the Greatest Common Factor of 26741 and 26752?

Greatest common factor (GCF) of 26741 and 26752 is 11.

GCF(26741,26752) = 11

We will now calculate the prime factors of 26741 and 26752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26741 and 26752.

How to find the GCF of 26741 and 26752?

We will first find the prime factorization of 26741 and 26752. After we will calculate the factors of 26741 and 26752 and find the biggest common factor number .

Step-1: Prime Factorization of 26741

Prime factors of 26741 are 11, 13, 17. Prime factorization of 26741 in exponential form is:

26741 = 11² × 13¹ × 17¹

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 26741

List of positive integer factors of 26741 that divides 26741 without a remainder.

1, 11, 13, 17, 121, 143, 187, 221, 1573, 2057, 2431

Step-4: Factors of 26752

List of positive integer factors of 26752 that divides 26741 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 26741 and 26752. The biggest common factor number is the GCF number.
So the greatest common factor 26741 and 26752 is 11.

Also check out the Least Common Multiple of 26741 and 26752