What is the Greatest Common Factor of 28072 and 28079?

Greatest common factor (GCF) of 28072 and 28079 is 1.

GCF(28072,28079) = 1

We will now calculate the prime factors of 28072 and 28079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28072 and 28079.

How to find the GCF of 28072 and 28079?

We will first find the prime factorization of 28072 and 28079. After we will calculate the factors of 28072 and 28079 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 28079

Prime factors of 28079 are 43, 653. Prime factorization of 28079 in exponential form is:

28079 = 43¹ × 653¹

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 28079

List of positive integer factors of 28079 that divides 28072 without a remainder.

1, 43, 653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28072 and 28079. The biggest common factor number is the GCF number.
So the greatest common factor 28072 and 28079 is 1.

Also check out the Least Common Multiple of 28072 and 28079