What is the Greatest Common Factor of 28028 and 28041?

Greatest common factor (GCF) of 28028 and 28041 is 13.

GCF(28028,28041) = 13

We will now calculate the prime factors of 28028 and 28041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28028 and 28041.

How to find the GCF of 28028 and 28041?

We will first find the prime factorization of 28028 and 28041. After we will calculate the factors of 28028 and 28041 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28041

Prime factors of 28041 are 3, 13, 719. Prime factorization of 28041 in exponential form is:

28041 = 3¹ × 13¹ × 719¹

Step-3: Factors of 28028

List of positive integer factors of 28028 that divides 28028 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

Step-4: Factors of 28041

List of positive integer factors of 28041 that divides 28028 without a remainder.

1, 3, 13, 39, 719, 2157, 9347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28028 and 28041. The biggest common factor number is the GCF number.
So the greatest common factor 28028 and 28041 is 13.

Also check out the Least Common Multiple of 28028 and 28041