What is the Greatest Common Factor of 22609 and 22624?

Greatest common factor (GCF) of 22609 and 22624 is 1.

GCF(22609,22624) = 1

We will now calculate the prime factors of 22609 and 22624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22609 and 22624.

How to find the GCF of 22609 and 22624?

We will first find the prime factorization of 22609 and 22624. After we will calculate the factors of 22609 and 22624 and find the biggest common factor number .

Step-1: Prime Factorization of 22609

Prime factors of 22609 are 23, 983. Prime factorization of 22609 in exponential form is:

22609 = 23¹ × 983¹

Step-2: Prime Factorization of 22624

Prime factors of 22624 are 2, 7, 101. Prime factorization of 22624 in exponential form is:

22624 = 2⁵ × 7¹ × 101¹

Step-3: Factors of 22609

List of positive integer factors of 22609 that divides 22609 without a remainder.

1, 23, 983

Step-4: Factors of 22624

List of positive integer factors of 22624 that divides 22609 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 101, 112, 202, 224, 404, 707, 808, 1414, 1616, 2828, 3232, 5656, 11312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22609 and 22624. The biggest common factor number is the GCF number.
So the greatest common factor 22609 and 22624 is 1.

Also check out the Least Common Multiple of 22609 and 22624