What is the Greatest Common Factor of 56125 and 56140?

Greatest common factor (GCF) of 56125 and 56140 is 5.

GCF(56125,56140) = 5

We will now calculate the prime factors of 56125 and 56140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56125 and 56140.

How to find the GCF of 56125 and 56140?

We will first find the prime factorization of 56125 and 56140. After we will calculate the factors of 56125 and 56140 and find the biggest common factor number .

Step-1: Prime Factorization of 56125

Prime factors of 56125 are 5, 449. Prime factorization of 56125 in exponential form is:

56125 = 5³ × 449¹

Step-2: 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-3: Factors of 56125

List of positive integer factors of 56125 that divides 56125 without a remainder.

1, 5, 25, 125, 449, 2245, 11225

Step-4: Factors of 56140

List of positive integer factors of 56140 that divides 56125 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56125 and 56140. The biggest common factor number is the GCF number.
So the greatest common factor 56125 and 56140 is 5.

Also check out the Least Common Multiple of 56125 and 56140