What is the Greatest Common Factor of 87925 and 87931?

Greatest common factor (GCF) of 87925 and 87931 is 1.

GCF(87925,87931) = 1

We will now calculate the prime factors of 87925 and 87931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87925 and 87931.

How to find the GCF of 87925 and 87931?

We will first find the prime factorization of 87925 and 87931. After we will calculate the factors of 87925 and 87931 and find the biggest common factor number .

Step-1: Prime Factorization of 87925

Prime factors of 87925 are 5, 3517. Prime factorization of 87925 in exponential form is:

87925 = 5² × 3517¹

Step-2: Prime Factorization of 87931

Prime factors of 87931 are 87931. Prime factorization of 87931 in exponential form is:

87931 = 87931¹

Step-3: Factors of 87925

List of positive integer factors of 87925 that divides 87925 without a remainder.

1, 5, 25, 3517, 17585

Step-4: Factors of 87931

List of positive integer factors of 87931 that divides 87925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87925 and 87931. The biggest common factor number is the GCF number.
So the greatest common factor 87925 and 87931 is 1.

Also check out the Least Common Multiple of 87925 and 87931