What is the Greatest Common Factor of 56014 and 56028?

Greatest common factor (GCF) of 56014 and 56028 is 14.

GCF(56014,56028) = 14

We will now calculate the prime factors of 56014 and 56028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56014 and 56028.

How to find the GCF of 56014 and 56028?

We will first find the prime factorization of 56014 and 56028. After we will calculate the factors of 56014 and 56028 and find the biggest common factor number .

Step-1: Prime Factorization of 56014

Prime factors of 56014 are 2, 7, 4001. Prime factorization of 56014 in exponential form is:

56014 = 2¹ × 7¹ × 4001¹

Step-2: Prime Factorization of 56028

Prime factors of 56028 are 2, 3, 7, 23, 29. Prime factorization of 56028 in exponential form is:

56028 = 2² × 3¹ × 7¹ × 23¹ × 29¹

Step-3: Factors of 56014

List of positive integer factors of 56014 that divides 56014 without a remainder.

1, 2, 7, 14, 4001, 8002, 28007

Step-4: Factors of 56028

List of positive integer factors of 56028 that divides 56014 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 29, 42, 46, 58, 69, 84, 87, 92, 116, 138, 161, 174, 203, 276, 322, 348, 406, 483, 609, 644, 667, 812, 966, 1218, 1334, 1932, 2001, 2436, 2668, 4002, 4669, 8004, 9338, 14007, 18676, 28014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56014 and 56028. The biggest common factor number is the GCF number.
So the greatest common factor 56014 and 56028 is 14.

Also check out the Least Common Multiple of 56014 and 56028