What is the Greatest Common Factor of 22722 and 22731?

Greatest common factor (GCF) of 22722 and 22731 is 3.

GCF(22722,22731) = 3

We will now calculate the prime factors of 22722 and 22731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22722 and 22731.

How to find the GCF of 22722 and 22731?

We will first find the prime factorization of 22722 and 22731. After we will calculate the factors of 22722 and 22731 and find the biggest common factor number .

Step-1: Prime Factorization of 22722

Prime factors of 22722 are 2, 3, 7, 541. Prime factorization of 22722 in exponential form is:

22722 = 2¹ × 3¹ × 7¹ × 541¹

Step-2: Prime Factorization of 22731

Prime factors of 22731 are 3, 7577. Prime factorization of 22731 in exponential form is:

22731 = 3¹ × 7577¹

Step-3: Factors of 22722

List of positive integer factors of 22722 that divides 22722 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 541, 1082, 1623, 3246, 3787, 7574, 11361

Step-4: Factors of 22731

List of positive integer factors of 22731 that divides 22722 without a remainder.

1, 3, 7577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22722 and 22731. The biggest common factor number is the GCF number.
So the greatest common factor 22722 and 22731 is 3.

Also check out the Least Common Multiple of 22722 and 22731