What is the Greatest Common Factor of 87564 and 87575?

Greatest common factor (GCF) of 87564 and 87575 is 1.

GCF(87564,87575) = 1

We will now calculate the prime factors of 87564 and 87575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87564 and 87575.

How to find the GCF of 87564 and 87575?

We will first find the prime factorization of 87564 and 87575. After we will calculate the factors of 87564 and 87575 and find the biggest common factor number .

Step-1: Prime Factorization of 87564

Prime factors of 87564 are 2, 3, 7297. Prime factorization of 87564 in exponential form is:

87564 = 2² × 3¹ × 7297¹

Step-2: 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-3: Factors of 87564

List of positive integer factors of 87564 that divides 87564 without a remainder.

1, 2, 3, 4, 6, 12, 7297, 14594, 21891, 29188, 43782

Step-4: Factors of 87575

List of positive integer factors of 87575 that divides 87564 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87564 and 87575. The biggest common factor number is the GCF number.
So the greatest common factor 87564 and 87575 is 1.

Also check out the Least Common Multiple of 87564 and 87575