What is the Greatest Common Factor of 22726 and 22737?

Greatest common factor (GCF) of 22726 and 22737 is 11.

GCF(22726,22737) = 11

We will now calculate the prime factors of 22726 and 22737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22726 and 22737.

How to find the GCF of 22726 and 22737?

We will first find the prime factorization of 22726 and 22737. After we will calculate the factors of 22726 and 22737 and find the biggest common factor number .

Step-1: Prime Factorization of 22726

Prime factors of 22726 are 2, 11, 1033. Prime factorization of 22726 in exponential form is:

22726 = 2¹ × 11¹ × 1033¹

Step-2: Prime Factorization of 22737

Prime factors of 22737 are 3, 11, 13, 53. Prime factorization of 22737 in exponential form is:

22737 = 3¹ × 11¹ × 13¹ × 53¹

Step-3: Factors of 22726

List of positive integer factors of 22726 that divides 22726 without a remainder.

1, 2, 11, 22, 1033, 2066, 11363

Step-4: Factors of 22737

List of positive integer factors of 22737 that divides 22726 without a remainder.

1, 3, 11, 13, 33, 39, 53, 143, 159, 429, 583, 689, 1749, 2067, 7579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22726 and 22737. The biggest common factor number is the GCF number.
So the greatest common factor 22726 and 22737 is 11.

Also check out the Least Common Multiple of 22726 and 22737