What is the Greatest Common Factor of 22685 and 22698?

Greatest common factor (GCF) of 22685 and 22698 is 13.

GCF(22685,22698) = 13

We will now calculate the prime factors of 22685 and 22698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22685 and 22698.

How to find the GCF of 22685 and 22698?

We will first find the prime factorization of 22685 and 22698. After we will calculate the factors of 22685 and 22698 and find the biggest common factor number .

Step-1: Prime Factorization of 22685

Prime factors of 22685 are 5, 13, 349. Prime factorization of 22685 in exponential form is:

22685 = 5¹ × 13¹ × 349¹

Step-2: 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-3: Factors of 22685

List of positive integer factors of 22685 that divides 22685 without a remainder.

1, 5, 13, 65, 349, 1745, 4537

Step-4: Factors of 22698

List of positive integer factors of 22698 that divides 22685 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22685 and 22698. The biggest common factor number is the GCF number.
So the greatest common factor 22685 and 22698 is 13.

Also check out the Least Common Multiple of 22685 and 22698