What is the Greatest Common Factor of 36874 and 36889?

Greatest common factor (GCF) of 36874 and 36889 is 1.

GCF(36874,36889) = 1

We will now calculate the prime factors of 36874 and 36889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36874 and 36889.

How to find the GCF of 36874 and 36889?

We will first find the prime factorization of 36874 and 36889. After we will calculate the factors of 36874 and 36889 and find the biggest common factor number .

Step-1: Prime Factorization of 36874

Prime factors of 36874 are 2, 103, 179. Prime factorization of 36874 in exponential form is:

36874 = 2¹ × 103¹ × 179¹

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 36874

List of positive integer factors of 36874 that divides 36874 without a remainder.

1, 2, 103, 179, 206, 358, 18437

Step-4: Factors of 36889

List of positive integer factors of 36889 that divides 36874 without a remainder.

1, 37, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36874 and 36889. The biggest common factor number is the GCF number.
So the greatest common factor 36874 and 36889 is 1.

Also check out the Least Common Multiple of 36874 and 36889