What is the Greatest Common Factor of 36872 and 36889?

Greatest common factor (GCF) of 36872 and 36889 is 1.

GCF(36872,36889) = 1

We will now calculate the prime factors of 36872 and 36889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36872 and 36889.

How to find the GCF of 36872 and 36889?

We will first find the prime factorization of 36872 and 36889. After we will calculate the factors of 36872 and 36889 and find the biggest common factor number .

Step-1: Prime Factorization of 36872

Prime factors of 36872 are 2, 11, 419. Prime factorization of 36872 in exponential form is:

36872 = 2³ × 11¹ × 419¹

Step-2: Prime Factorization of 36889

Prime factors of 36889 are 37, 997. Prime factorization of 36889 in exponential form is:

36889 = 37¹ × 997¹

Step-3: Factors of 36872

List of positive integer factors of 36872 that divides 36872 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 419, 838, 1676, 3352, 4609, 9218, 18436

Step-4: Factors of 36889

List of positive integer factors of 36889 that divides 36872 without a remainder.

1, 37, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36872 and 36889. The biggest common factor number is the GCF number.
So the greatest common factor 36872 and 36889 is 1.

Also check out the Least Common Multiple of 36872 and 36889