What is the Greatest Common Factor of 22525 and 22540?

Greatest common factor (GCF) of 22525 and 22540 is 5.

GCF(22525,22540) = 5

We will now calculate the prime factors of 22525 and 22540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22525 and 22540.

How to find the GCF of 22525 and 22540?

We will first find the prime factorization of 22525 and 22540. After we will calculate the factors of 22525 and 22540 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 22540

Prime factors of 22540 are 2, 5, 7, 23. Prime factorization of 22540 in exponential form is:

22540 = 2² × 5¹ × 7² × 23¹

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 22540

List of positive integer factors of 22540 that divides 22525 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 49, 70, 92, 98, 115, 140, 161, 196, 230, 245, 322, 460, 490, 644, 805, 980, 1127, 1610, 2254, 3220, 4508, 5635, 11270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22525 and 22540. The biggest common factor number is the GCF number.
So the greatest common factor 22525 and 22540 is 5.

Also check out the Least Common Multiple of 22525 and 22540