What is the Greatest Common Factor of 22737 and 22750?

Greatest common factor (GCF) of 22737 and 22750 is 13.

GCF(22737,22750) = 13

We will now calculate the prime factors of 22737 and 22750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22737 and 22750.

How to find the GCF of 22737 and 22750?

We will first find the prime factorization of 22737 and 22750. After we will calculate the factors of 22737 and 22750 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 22750

Prime factors of 22750 are 2, 5, 7, 13. Prime factorization of 22750 in exponential form is:

22750 = 2¹ × 5³ × 7¹ × 13¹

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 22750

List of positive integer factors of 22750 that divides 22737 without a remainder.

1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 125, 130, 175, 182, 250, 325, 350, 455, 650, 875, 910, 1625, 1750, 2275, 3250, 4550, 11375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22737 and 22750. The biggest common factor number is the GCF number.
So the greatest common factor 22737 and 22750 is 13.

Also check out the Least Common Multiple of 22737 and 22750