What is the Greatest Common Factor of 88415 and 88420?

Greatest common factor (GCF) of 88415 and 88420 is 5.

GCF(88415,88420) = 5

We will now calculate the prime factors of 88415 and 88420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88415 and 88420.

How to find the GCF of 88415 and 88420?

We will first find the prime factorization of 88415 and 88420. After we will calculate the factors of 88415 and 88420 and find the biggest common factor number .

Step-1: Prime Factorization of 88415

Prime factors of 88415 are 5, 17683. Prime factorization of 88415 in exponential form is:

88415 = 5¹ × 17683¹

Step-2: Prime Factorization of 88420

Prime factors of 88420 are 2, 5, 4421. Prime factorization of 88420 in exponential form is:

88420 = 2² × 5¹ × 4421¹

Step-3: Factors of 88415

List of positive integer factors of 88415 that divides 88415 without a remainder.

1, 5, 17683

Step-4: Factors of 88420

List of positive integer factors of 88420 that divides 88415 without a remainder.

1, 2, 4, 5, 10, 20, 4421, 8842, 17684, 22105, 44210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88415 and 88420. The biggest common factor number is the GCF number.
So the greatest common factor 88415 and 88420 is 5.

Also check out the Least Common Multiple of 88415 and 88420