What is the Greatest Common Factor of 56140 and 56152?

Greatest common factor (GCF) of 56140 and 56152 is 4.

GCF(56140,56152) = 4

We will now calculate the prime factors of 56140 and 56152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56140 and 56152.

How to find the GCF of 56140 and 56152?

We will first find the prime factorization of 56140 and 56152. After we will calculate the factors of 56140 and 56152 and find the biggest common factor number .

Step-1: Prime Factorization of 56140

Prime factors of 56140 are 2, 5, 7, 401. Prime factorization of 56140 in exponential form is:

56140 = 2² × 5¹ × 7¹ × 401¹

Step-2: Prime Factorization of 56152

Prime factors of 56152 are 2, 7019. Prime factorization of 56152 in exponential form is:

56152 = 2³ × 7019¹

Step-3: Factors of 56140

List of positive integer factors of 56140 that divides 56140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 401, 802, 1604, 2005, 2807, 4010, 5614, 8020, 11228, 14035, 28070

Step-4: Factors of 56152

List of positive integer factors of 56152 that divides 56140 without a remainder.

1, 2, 4, 8, 7019, 14038, 28076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56140 and 56152. The biggest common factor number is the GCF number.
So the greatest common factor 56140 and 56152 is 4.

Also check out the Least Common Multiple of 56140 and 56152