What is the Greatest Common Factor of 22997 and 23010?

Greatest common factor (GCF) of 22997 and 23010 is 13.

GCF(22997,23010) = 13

We will now calculate the prime factors of 22997 and 23010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22997 and 23010.

How to find the GCF of 22997 and 23010?

We will first find the prime factorization of 22997 and 23010. After we will calculate the factors of 22997 and 23010 and find the biggest common factor number .

Step-1: Prime Factorization of 22997

Prime factors of 22997 are 13, 29, 61. Prime factorization of 22997 in exponential form is:

22997 = 13¹ × 29¹ × 61¹

Step-2: Prime Factorization of 23010

Prime factors of 23010 are 2, 3, 5, 13, 59. Prime factorization of 23010 in exponential form is:

23010 = 2¹ × 3¹ × 5¹ × 13¹ × 59¹

Step-3: Factors of 22997

List of positive integer factors of 22997 that divides 22997 without a remainder.

1, 13, 29, 61, 377, 793, 1769

Step-4: Factors of 23010

List of positive integer factors of 23010 that divides 22997 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 59, 65, 78, 118, 130, 177, 195, 295, 354, 390, 590, 767, 885, 1534, 1770, 2301, 3835, 4602, 7670, 11505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22997 and 23010. The biggest common factor number is the GCF number.
So the greatest common factor 22997 and 23010 is 13.

Also check out the Least Common Multiple of 22997 and 23010