What is the Greatest Common Factor of 22722 and 22742?

Greatest common factor (GCF) of 22722 and 22742 is 2.

GCF(22722,22742) = 2

We will now calculate the prime factors of 22722 and 22742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22722 and 22742.

How to find the GCF of 22722 and 22742?

We will first find the prime factorization of 22722 and 22742. After we will calculate the factors of 22722 and 22742 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 22742

Prime factors of 22742 are 2, 83, 137. Prime factorization of 22742 in exponential form is:

22742 = 2¹ × 83¹ × 137¹

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 22742

List of positive integer factors of 22742 that divides 22722 without a remainder.

1, 2, 83, 137, 166, 274, 11371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22722 and 22742. The biggest common factor number is the GCF number.
So the greatest common factor 22722 and 22742 is 2.

Also check out the Least Common Multiple of 22722 and 22742