What is the Greatest Common Factor of 22685 and 22696?

Greatest common factor (GCF) of 22685 and 22696 is 1.

GCF(22685,22696) = 1

We will now calculate the prime factors of 22685 and 22696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22685 and 22696.

How to find the GCF of 22685 and 22696?

We will first find the prime factorization of 22685 and 22696. After we will calculate the factors of 22685 and 22696 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 22696

Prime factors of 22696 are 2, 2837. Prime factorization of 22696 in exponential form is:

22696 = 2³ × 2837¹

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 22696

List of positive integer factors of 22696 that divides 22685 without a remainder.

1, 2, 4, 8, 2837, 5674, 11348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22685 and 22696. The biggest common factor number is the GCF number.
So the greatest common factor 22685 and 22696 is 1.

Also check out the Least Common Multiple of 22685 and 22696