What is the Greatest Common Factor of 22698 and 22713?

Greatest common factor (GCF) of 22698 and 22713 is 3.

GCF(22698,22713) = 3

We will now calculate the prime factors of 22698 and 22713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22698 and 22713.

How to find the GCF of 22698 and 22713?

We will first find the prime factorization of 22698 and 22713. After we will calculate the factors of 22698 and 22713 and find the biggest common factor number .

Step-1: Prime Factorization of 22698

Prime factors of 22698 are 2, 3, 13, 97. Prime factorization of 22698 in exponential form is:

22698 = 2¹ × 3² × 13¹ × 97¹

Step-2: Prime Factorization of 22713

Prime factors of 22713 are 3, 67, 113. Prime factorization of 22713 in exponential form is:

22713 = 3¹ × 67¹ × 113¹

Step-3: Factors of 22698

List of positive integer factors of 22698 that divides 22698 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 97, 117, 194, 234, 291, 582, 873, 1261, 1746, 2522, 3783, 7566, 11349

Step-4: Factors of 22713

List of positive integer factors of 22713 that divides 22698 without a remainder.

1, 3, 67, 113, 201, 339, 7571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22698 and 22713. The biggest common factor number is the GCF number.
So the greatest common factor 22698 and 22713 is 3.

Also check out the Least Common Multiple of 22698 and 22713