What is the Greatest Common Factor of 56115 and 56125?

Greatest common factor (GCF) of 56115 and 56125 is 5.

GCF(56115,56125) = 5

We will now calculate the prime factors of 56115 and 56125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56115 and 56125.

How to find the GCF of 56115 and 56125?

We will first find the prime factorization of 56115 and 56125. After we will calculate the factors of 56115 and 56125 and find the biggest common factor number .

Step-1: Prime Factorization of 56115

Prime factors of 56115 are 3, 5, 29, 43. Prime factorization of 56115 in exponential form is:

56115 = 3² × 5¹ × 29¹ × 43¹

Step-2: Prime Factorization of 56125

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

56125 = 5³ × 449¹

Step-3: Factors of 56115

List of positive integer factors of 56115 that divides 56115 without a remainder.

1, 3, 5, 9, 15, 29, 43, 45, 87, 129, 145, 215, 261, 387, 435, 645, 1247, 1305, 1935, 3741, 6235, 11223, 18705

Step-4: Factors of 56125

List of positive integer factors of 56125 that divides 56115 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56115 and 56125. The biggest common factor number is the GCF number.
So the greatest common factor 56115 and 56125 is 5.

Also check out the Least Common Multiple of 56115 and 56125