What is the Greatest Common Factor of 56028 and 56048?

Greatest common factor (GCF) of 56028 and 56048 is 4.

GCF(56028,56048) = 4

We will now calculate the prime factors of 56028 and 56048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56028 and 56048.

How to find the GCF of 56028 and 56048?

We will first find the prime factorization of 56028 and 56048. After we will calculate the factors of 56028 and 56048 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 56048

Prime factors of 56048 are 2, 31, 113. Prime factorization of 56048 in exponential form is:

56048 = 2⁴ × 31¹ × 113¹

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 56048

List of positive integer factors of 56048 that divides 56028 without a remainder.

1, 2, 4, 8, 16, 31, 62, 113, 124, 226, 248, 452, 496, 904, 1808, 3503, 7006, 14012, 28024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56028 and 56048. The biggest common factor number is the GCF number.
So the greatest common factor 56028 and 56048 is 4.

Also check out the Least Common Multiple of 56028 and 56048