What is the Greatest Common Factor of 22700 and 22716?

Greatest common factor (GCF) of 22700 and 22716 is 4.

GCF(22700,22716) = 4

We will now calculate the prime factors of 22700 and 22716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22700 and 22716.

How to find the GCF of 22700 and 22716?

We will first find the prime factorization of 22700 and 22716. After we will calculate the factors of 22700 and 22716 and find the biggest common factor number .

Step-1: Prime Factorization of 22700

Prime factors of 22700 are 2, 5, 227. Prime factorization of 22700 in exponential form is:

22700 = 2² × 5² × 227¹

Step-2: Prime Factorization of 22716

Prime factors of 22716 are 2, 3, 631. Prime factorization of 22716 in exponential form is:

22716 = 2² × 3² × 631¹

Step-3: Factors of 22700

List of positive integer factors of 22700 that divides 22700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 227, 454, 908, 1135, 2270, 4540, 5675, 11350

Step-4: Factors of 22716

List of positive integer factors of 22716 that divides 22700 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 631, 1262, 1893, 2524, 3786, 5679, 7572, 11358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22700 and 22716. The biggest common factor number is the GCF number.
So the greatest common factor 22700 and 22716 is 4.

Also check out the Least Common Multiple of 22700 and 22716