What is the Greatest Common Factor of 22708 and 22722?

Greatest common factor (GCF) of 22708 and 22722 is 14.

GCF(22708,22722) = 14

We will now calculate the prime factors of 22708 and 22722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22708 and 22722.

How to find the GCF of 22708 and 22722?

We will first find the prime factorization of 22708 and 22722. After we will calculate the factors of 22708 and 22722 and find the biggest common factor number .

Step-1: Prime Factorization of 22708

Prime factors of 22708 are 2, 7, 811. Prime factorization of 22708 in exponential form is:

22708 = 2² × 7¹ × 811¹

Step-2: 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-3: Factors of 22708

List of positive integer factors of 22708 that divides 22708 without a remainder.

1, 2, 4, 7, 14, 28, 811, 1622, 3244, 5677, 11354

Step-4: Factors of 22722

List of positive integer factors of 22722 that divides 22708 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22708 and 22722. The biggest common factor number is the GCF number.
So the greatest common factor 22708 and 22722 is 14.

Also check out the Least Common Multiple of 22708 and 22722