What is the Greatest Common Factor of 22525 and 22544?

Greatest common factor (GCF) of 22525 and 22544 is 1.

GCF(22525,22544) = 1

We will now calculate the prime factors of 22525 and 22544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22525 and 22544.

How to find the GCF of 22525 and 22544?

We will first find the prime factorization of 22525 and 22544. After we will calculate the factors of 22525 and 22544 and find the biggest common factor number .

Step-1: Prime Factorization of 22525

Prime factors of 22525 are 5, 17, 53. Prime factorization of 22525 in exponential form is:

22525 = 5² × 17¹ × 53¹

Step-2: Prime Factorization of 22544

Prime factors of 22544 are 2, 1409. Prime factorization of 22544 in exponential form is:

22544 = 2⁴ × 1409¹

Step-3: Factors of 22525

List of positive integer factors of 22525 that divides 22525 without a remainder.

1, 5, 17, 25, 53, 85, 265, 425, 901, 1325, 4505

Step-4: Factors of 22544

List of positive integer factors of 22544 that divides 22525 without a remainder.

1, 2, 4, 8, 16, 1409, 2818, 5636, 11272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22525 and 22544. The biggest common factor number is the GCF number.
So the greatest common factor 22525 and 22544 is 1.

Also check out the Least Common Multiple of 22525 and 22544