What is the Greatest Common Factor of 28021 and 28028?

Greatest common factor (GCF) of 28021 and 28028 is 7.

GCF(28021,28028) = 7

We will now calculate the prime factors of 28021 and 28028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28021 and 28028.

How to find the GCF of 28021 and 28028?

We will first find the prime factorization of 28021 and 28028. After we will calculate the factors of 28021 and 28028 and find the biggest common factor number .

Step-1: Prime Factorization of 28021

Prime factors of 28021 are 7, 4003. Prime factorization of 28021 in exponential form is:

28021 = 7¹ × 4003¹

Step-2: Prime Factorization of 28028

Prime factors of 28028 are 2, 7, 11, 13. Prime factorization of 28028 in exponential form is:

28028 = 2² × 7² × 11¹ × 13¹

Step-3: Factors of 28021

List of positive integer factors of 28021 that divides 28021 without a remainder.

1, 7, 4003

Step-4: Factors of 28028

List of positive integer factors of 28028 that divides 28021 without a remainder.

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 49, 52, 77, 91, 98, 143, 154, 182, 196, 286, 308, 364, 539, 572, 637, 1001, 1078, 1274, 2002, 2156, 2548, 4004, 7007, 14014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28021 and 28028. The biggest common factor number is the GCF number.
So the greatest common factor 28021 and 28028 is 7.

Also check out the Least Common Multiple of 28021 and 28028