What is the Greatest Common Factor of 22737 and 22748?

Greatest common factor (GCF) of 22737 and 22748 is 11.

GCF(22737,22748) = 11

We will now calculate the prime factors of 22737 and 22748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22737 and 22748.

How to find the GCF of 22737 and 22748?

We will first find the prime factorization of 22737 and 22748. After we will calculate the factors of 22737 and 22748 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22748

Prime factors of 22748 are 2, 11, 47. Prime factorization of 22748 in exponential form is:

22748 = 2² × 11² × 47¹

Step-3: Factors of 22737

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

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

Step-4: Factors of 22748

List of positive integer factors of 22748 that divides 22737 without a remainder.

1, 2, 4, 11, 22, 44, 47, 94, 121, 188, 242, 484, 517, 1034, 2068, 5687, 11374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22737 and 22748. The biggest common factor number is the GCF number.
So the greatest common factor 22737 and 22748 is 11.

Also check out the Least Common Multiple of 22737 and 22748