What is the Greatest Common Factor of 56028 and 56040?

Greatest common factor (GCF) of 56028 and 56040 is 12.

GCF(56028,56040) = 12

We will now calculate the prime factors of 56028 and 56040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56028 and 56040.

How to find the GCF of 56028 and 56040?

We will first find the prime factorization of 56028 and 56040. After we will calculate the factors of 56028 and 56040 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 56040

Prime factors of 56040 are 2, 3, 5, 467. Prime factorization of 56040 in exponential form is:

56040 = 2³ × 3¹ × 5¹ × 467¹

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 56040

List of positive integer factors of 56040 that divides 56028 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 467, 934, 1401, 1868, 2335, 2802, 3736, 4670, 5604, 7005, 9340, 11208, 14010, 18680, 28020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56028 and 56040. The biggest common factor number is the GCF number.
So the greatest common factor 56028 and 56040 is 12.

Also check out the Least Common Multiple of 56028 and 56040