What is the Greatest Common Factor of 87575 and 87580?

Greatest common factor (GCF) of 87575 and 87580 is 5.

GCF(87575,87580) = 5

We will now calculate the prime factors of 87575 and 87580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87575 and 87580.

How to find the GCF of 87575 and 87580?

We will first find the prime factorization of 87575 and 87580. After we will calculate the factors of 87575 and 87580 and find the biggest common factor number .

Step-1: Prime Factorization of 87575

Prime factors of 87575 are 5, 31, 113. Prime factorization of 87575 in exponential form is:

87575 = 5² × 31¹ × 113¹

Step-2: Prime Factorization of 87580

Prime factors of 87580 are 2, 5, 29, 151. Prime factorization of 87580 in exponential form is:

87580 = 2² × 5¹ × 29¹ × 151¹

Step-3: Factors of 87575

List of positive integer factors of 87575 that divides 87575 without a remainder.

1, 5, 25, 31, 113, 155, 565, 775, 2825, 3503, 17515

Step-4: Factors of 87580

List of positive integer factors of 87580 that divides 87575 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 151, 290, 302, 580, 604, 755, 1510, 3020, 4379, 8758, 17516, 21895, 43790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87575 and 87580. The biggest common factor number is the GCF number.
So the greatest common factor 87575 and 87580 is 5.

Also check out the Least Common Multiple of 87575 and 87580