What is the Greatest Common Factor of 22722 and 22736?

Greatest common factor (GCF) of 22722 and 22736 is 14.

GCF(22722,22736) = 14

We will now calculate the prime factors of 22722 and 22736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22722 and 22736.

How to find the GCF of 22722 and 22736?

We will first find the prime factorization of 22722 and 22736. After we will calculate the factors of 22722 and 22736 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 22736

Prime factors of 22736 are 2, 7, 29. Prime factorization of 22736 in exponential form is:

22736 = 2⁴ × 7² × 29¹

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 22736

List of positive integer factors of 22736 that divides 22722 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 49, 56, 58, 98, 112, 116, 196, 203, 232, 392, 406, 464, 784, 812, 1421, 1624, 2842, 3248, 5684, 11368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22722 and 22736. The biggest common factor number is the GCF number.
So the greatest common factor 22722 and 22736 is 14.

Also check out the Least Common Multiple of 22722 and 22736