What is the Greatest Common Factor of 22701 and 22716?

Greatest common factor (GCF) of 22701 and 22716 is 3.

GCF(22701,22716) = 3

We will now calculate the prime factors of 22701 and 22716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22701 and 22716.

How to find the GCF of 22701 and 22716?

We will first find the prime factorization of 22701 and 22716. After we will calculate the factors of 22701 and 22716 and find the biggest common factor number .

Step-1: Prime Factorization of 22701

Prime factors of 22701 are 3, 7, 23, 47. Prime factorization of 22701 in exponential form is:

22701 = 3¹ × 7¹ × 23¹ × 47¹

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 22701

List of positive integer factors of 22701 that divides 22701 without a remainder.

1, 3, 7, 21, 23, 47, 69, 141, 161, 329, 483, 987, 1081, 3243, 7567

Step-4: Factors of 22716

List of positive integer factors of 22716 that divides 22701 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 22701 and 22716. The biggest common factor number is the GCF number.
So the greatest common factor 22701 and 22716 is 3.

Also check out the Least Common Multiple of 22701 and 22716