What is the Greatest Common Factor of 872 and 889?

Greatest common factor (GCF) of 872 and 889 is 1.

GCF(872,889) = 1

We will now calculate the prime factors of 872 and 889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 872 and 889.

How to find the GCF of 872 and 889?

We will first find the prime factorization of 872 and 889. After we will calculate the factors of 872 and 889 and find the biggest common factor number .

Step-1: Prime Factorization of 872

Prime factors of 872 are 2, 109. Prime factorization of 872 in exponential form is:

872 = 2³ × 109¹

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 872

List of positive integer factors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436

Step-4: Factors of 889

List of positive integer factors of 889 that divides 872 without a remainder.

1, 7, 127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 872 and 889. The biggest common factor number is the GCF number.
So the greatest common factor 872 and 889 is 1.

Also check out the Least Common Multiple of 872 and 889