What is the Greatest Common Factor of 56008 and 56028?

Greatest common factor (GCF) of 56008 and 56028 is 4.

GCF(56008,56028) = 4

We will now calculate the prime factors of 56008 and 56028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56008 and 56028.

How to find the GCF of 56008 and 56028?

We will first find the prime factorization of 56008 and 56028. After we will calculate the factors of 56008 and 56028 and find the biggest common factor number .

Step-1: Prime Factorization of 56008

Prime factors of 56008 are 2, 7001. Prime factorization of 56008 in exponential form is:

56008 = 2³ × 7001¹

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 56008

List of positive integer factors of 56008 that divides 56008 without a remainder.

1, 2, 4, 8, 7001, 14002, 28004

Step-4: Factors of 56028

List of positive integer factors of 56028 that divides 56008 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 56008 and 56028. The biggest common factor number is the GCF number.
So the greatest common factor 56008 and 56028 is 4.

Also check out the Least Common Multiple of 56008 and 56028