What is the Greatest Common Factor of 84575 and 84580?

Greatest common factor (GCF) of 84575 and 84580 is 5.

GCF(84575,84580) = 5

We will now calculate the prime factors of 84575 and 84580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84575 and 84580.

How to find the GCF of 84575 and 84580?

We will first find the prime factorization of 84575 and 84580. After we will calculate the factors of 84575 and 84580 and find the biggest common factor number .

Step-1: Prime Factorization of 84575

Prime factors of 84575 are 5, 17, 199. Prime factorization of 84575 in exponential form is:

84575 = 5² × 17¹ × 199¹

Step-2: Prime Factorization of 84580

Prime factors of 84580 are 2, 5, 4229. Prime factorization of 84580 in exponential form is:

84580 = 2² × 5¹ × 4229¹

Step-3: Factors of 84575

List of positive integer factors of 84575 that divides 84575 without a remainder.

1, 5, 17, 25, 85, 199, 425, 995, 3383, 4975, 16915

Step-4: Factors of 84580

List of positive integer factors of 84580 that divides 84575 without a remainder.

1, 2, 4, 5, 10, 20, 4229, 8458, 16916, 21145, 42290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84575 and 84580. The biggest common factor number is the GCF number.
So the greatest common factor 84575 and 84580 is 5.

Also check out the Least Common Multiple of 84575 and 84580