What is the Greatest Common Factor of 56028 and 56042?

Greatest common factor (GCF) of 56028 and 56042 is 14.

GCF(56028,56042) = 14

We will now calculate the prime factors of 56028 and 56042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56028 and 56042.

How to find the GCF of 56028 and 56042?

We will first find the prime factorization of 56028 and 56042. After we will calculate the factors of 56028 and 56042 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56042

Prime factors of 56042 are 2, 7, 4003. Prime factorization of 56042 in exponential form is:

56042 = 2¹ × 7¹ × 4003¹

Step-3: Factors of 56028

List of positive integer factors of 56028 that divides 56028 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

Step-4: Factors of 56042

List of positive integer factors of 56042 that divides 56028 without a remainder.

1, 2, 7, 14, 4003, 8006, 28021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56028 and 56042. The biggest common factor number is the GCF number.
So the greatest common factor 56028 and 56042 is 14.

Also check out the Least Common Multiple of 56028 and 56042