What is the Greatest Common Factor of 22687 and 22701?

Greatest common factor (GCF) of 22687 and 22701 is 7.

GCF(22687,22701) = 7

We will now calculate the prime factors of 22687 and 22701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22687 and 22701.

How to find the GCF of 22687 and 22701?

We will first find the prime factorization of 22687 and 22701. After we will calculate the factors of 22687 and 22701 and find the biggest common factor number .

Step-1: Prime Factorization of 22687

Prime factors of 22687 are 7, 463. Prime factorization of 22687 in exponential form is:

22687 = 7² × 463¹

Step-2: 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-3: Factors of 22687

List of positive integer factors of 22687 that divides 22687 without a remainder.

1, 7, 49, 463, 3241

Step-4: Factors of 22701

List of positive integer factors of 22701 that divides 22687 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22687 and 22701. The biggest common factor number is the GCF number.
So the greatest common factor 22687 and 22701 is 7.

Also check out the Least Common Multiple of 22687 and 22701