What is the Greatest Common Factor of 22470 and 22475?

Greatest common factor (GCF) of 22470 and 22475 is 5.

GCF(22470,22475) = 5

We will now calculate the prime factors of 22470 and 22475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22470 and 22475.

How to find the GCF of 22470 and 22475?

We will first find the prime factorization of 22470 and 22475. After we will calculate the factors of 22470 and 22475 and find the biggest common factor number .

Step-1: Prime Factorization of 22470

Prime factors of 22470 are 2, 3, 5, 7, 107. Prime factorization of 22470 in exponential form is:

22470 = 2¹ × 3¹ × 5¹ × 7¹ × 107¹

Step-2: Prime Factorization of 22475

Prime factors of 22475 are 5, 29, 31. Prime factorization of 22475 in exponential form is:

22475 = 5² × 29¹ × 31¹

Step-3: Factors of 22470

List of positive integer factors of 22470 that divides 22470 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 107, 210, 214, 321, 535, 642, 749, 1070, 1498, 1605, 2247, 3210, 3745, 4494, 7490, 11235

Step-4: Factors of 22475

List of positive integer factors of 22475 that divides 22470 without a remainder.

1, 5, 25, 29, 31, 145, 155, 725, 775, 899, 4495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22470 and 22475. The biggest common factor number is the GCF number.
So the greatest common factor 22470 and 22475 is 5.

Also check out the Least Common Multiple of 22470 and 22475