What is the Greatest Common Factor of 22415 and 22420?

Greatest common factor (GCF) of 22415 and 22420 is 5.

GCF(22415,22420) = 5

We will now calculate the prime factors of 22415 and 22420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22415 and 22420.

How to find the GCF of 22415 and 22420?

We will first find the prime factorization of 22415 and 22420. After we will calculate the factors of 22415 and 22420 and find the biggest common factor number .

Step-1: Prime Factorization of 22415

Prime factors of 22415 are 5, 4483. Prime factorization of 22415 in exponential form is:

22415 = 5¹ × 4483¹

Step-2: Prime Factorization of 22420

Prime factors of 22420 are 2, 5, 19, 59. Prime factorization of 22420 in exponential form is:

22420 = 2² × 5¹ × 19¹ × 59¹

Step-3: Factors of 22415

List of positive integer factors of 22415 that divides 22415 without a remainder.

1, 5, 4483

Step-4: Factors of 22420

List of positive integer factors of 22420 that divides 22415 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 59, 76, 95, 118, 190, 236, 295, 380, 590, 1121, 1180, 2242, 4484, 5605, 11210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22415 and 22420. The biggest common factor number is the GCF number.
So the greatest common factor 22415 and 22420 is 5.

Also check out the Least Common Multiple of 22415 and 22420