What is the Greatest Common Factor of 22737 and 22757?

Greatest common factor (GCF) of 22737 and 22757 is 1.

GCF(22737,22757) = 1

We will now calculate the prime factors of 22737 and 22757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22737 and 22757.

How to find the GCF of 22737 and 22757?

We will first find the prime factorization of 22737 and 22757. After we will calculate the factors of 22737 and 22757 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 22757

Prime factors of 22757 are 7, 3251. Prime factorization of 22757 in exponential form is:

22757 = 7¹ × 3251¹

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 22757

List of positive integer factors of 22757 that divides 22737 without a remainder.

1, 7, 3251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22737 and 22757. The biggest common factor number is the GCF number.
So the greatest common factor 22737 and 22757 is 1.

Also check out the Least Common Multiple of 22737 and 22757