What is the Greatest Common Factor of 28072 and 28090?

Greatest common factor (GCF) of 28072 and 28090 is 2.

GCF(28072,28090) = 2

We will now calculate the prime factors of 28072 and 28090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28072 and 28090.

How to find the GCF of 28072 and 28090?

We will first find the prime factorization of 28072 and 28090. After we will calculate the factors of 28072 and 28090 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 28090

Prime factors of 28090 are 2, 5, 53. Prime factorization of 28090 in exponential form is:

28090 = 2¹ × 5¹ × 53²

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 28090

List of positive integer factors of 28090 that divides 28072 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530, 2809, 5618, 14045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28072 and 28090. The biggest common factor number is the GCF number.
So the greatest common factor 28072 and 28090 is 2.

Also check out the Least Common Multiple of 28072 and 28090