What is the Greatest Common Factor of 28049 and 28056?

Greatest common factor (GCF) of 28049 and 28056 is 7.

GCF(28049,28056) = 7

We will now calculate the prime factors of 28049 and 28056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28049 and 28056.

How to find the GCF of 28049 and 28056?

We will first find the prime factorization of 28049 and 28056. After we will calculate the factors of 28049 and 28056 and find the biggest common factor number .

Step-1: Prime Factorization of 28049

Prime factors of 28049 are 7, 4007. Prime factorization of 28049 in exponential form is:

28049 = 7¹ × 4007¹

Step-2: Prime Factorization of 28056

Prime factors of 28056 are 2, 3, 7, 167. Prime factorization of 28056 in exponential form is:

28056 = 2³ × 3¹ × 7¹ × 167¹

Step-3: Factors of 28049

List of positive integer factors of 28049 that divides 28049 without a remainder.

1, 7, 4007

Step-4: Factors of 28056

List of positive integer factors of 28056 that divides 28049 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 167, 168, 334, 501, 668, 1002, 1169, 1336, 2004, 2338, 3507, 4008, 4676, 7014, 9352, 14028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28049 and 28056. The biggest common factor number is the GCF number.
So the greatest common factor 28049 and 28056 is 7.

Also check out the Least Common Multiple of 28049 and 28056