What is the Greatest Common Factor of 28042 and 28056?

Greatest common factor (GCF) of 28042 and 28056 is 14.

GCF(28042,28056) = 14

We will now calculate the prime factors of 28042 and 28056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28042 and 28056.

How to find the GCF of 28042 and 28056?

We will first find the prime factorization of 28042 and 28056. After we will calculate the factors of 28042 and 28056 and find the biggest common factor number .

Step-1: Prime Factorization of 28042

Prime factors of 28042 are 2, 7, 2003. Prime factorization of 28042 in exponential form is:

28042 = 2¹ × 7¹ × 2003¹

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 28042

List of positive integer factors of 28042 that divides 28042 without a remainder.

1, 2, 7, 14, 2003, 4006, 14021

Step-4: Factors of 28056

List of positive integer factors of 28056 that divides 28042 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 28042 and 28056. The biggest common factor number is the GCF number.
So the greatest common factor 28042 and 28056 is 14.

Also check out the Least Common Multiple of 28042 and 28056