What is the Greatest Common Factor of 875 and 889?

Greatest common factor (GCF) of 875 and 889 is 7.

GCF(875,889) = 7

We will now calculate the prime factors of 875 and 889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 875 and 889.

How to find the GCF of 875 and 889?

We will first find the prime factorization of 875 and 889. After we will calculate the factors of 875 and 889 and find the biggest common factor number .

Step-1: Prime Factorization of 875

Prime factors of 875 are 5, 7. Prime factorization of 875 in exponential form is:

875 = 5³ × 7¹

Step-2: Prime Factorization of 889

Prime factors of 889 are 7, 127. Prime factorization of 889 in exponential form is:

889 = 7¹ × 127¹

Step-3: Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175

Step-4: Factors of 889

List of positive integer factors of 889 that divides 875 without a remainder.

1, 7, 127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 875 and 889. The biggest common factor number is the GCF number.
So the greatest common factor 875 and 889 is 7.

Also check out the Least Common Multiple of 875 and 889