What is the Greatest Common Factor of 28072 and 28087?

Greatest common factor (GCF) of 28072 and 28087 is 1.

GCF(28072,28087) = 1

We will now calculate the prime factors of 28072 and 28087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28072 and 28087.

How to find the GCF of 28072 and 28087?

We will first find the prime factorization of 28072 and 28087. After we will calculate the factors of 28072 and 28087 and find the biggest common factor number .

Step-1: Prime Factorization of 28072

Prime factors of 28072 are 2, 11, 29. Prime factorization of 28072 in exponential form is:

28072 = 2³ × 11² × 29¹

Step-2: Prime Factorization of 28087

Prime factors of 28087 are 28087. Prime factorization of 28087 in exponential form is:

28087 = 28087¹

Step-3: Factors of 28072

List of positive integer factors of 28072 that divides 28072 without a remainder.

1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 121, 232, 242, 319, 484, 638, 968, 1276, 2552, 3509, 7018, 14036

Step-4: Factors of 28087

List of positive integer factors of 28087 that divides 28072 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28072 and 28087. The biggest common factor number is the GCF number.
So the greatest common factor 28072 and 28087 is 1.

Also check out the Least Common Multiple of 28072 and 28087