What is the Greatest Common Factor of 56140 and 56147?

Greatest common factor (GCF) of 56140 and 56147 is 7.

GCF(56140,56147) = 7

We will now calculate the prime factors of 56140 and 56147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56140 and 56147.

How to find the GCF of 56140 and 56147?

We will first find the prime factorization of 56140 and 56147. After we will calculate the factors of 56140 and 56147 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 56147

Prime factors of 56147 are 7, 13, 617. Prime factorization of 56147 in exponential form is:

56147 = 7¹ × 13¹ × 617¹

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 56147

List of positive integer factors of 56147 that divides 56140 without a remainder.

1, 7, 13, 91, 617, 4319, 8021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56140 and 56147. The biggest common factor number is the GCF number.
So the greatest common factor 56140 and 56147 is 7.

Also check out the Least Common Multiple of 56140 and 56147