What is the Greatest Common Factor of 47125 and 47130?

Greatest common factor (GCF) of 47125 and 47130 is 5.

GCF(47125,47130) = 5

We will now calculate the prime factors of 47125 and 47130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47125 and 47130.

How to find the GCF of 47125 and 47130?

We will first find the prime factorization of 47125 and 47130. After we will calculate the factors of 47125 and 47130 and find the biggest common factor number .

Step-1: Prime Factorization of 47125

Prime factors of 47125 are 5, 13, 29. Prime factorization of 47125 in exponential form is:

47125 = 5³ × 13¹ × 29¹

Step-2: Prime Factorization of 47130

Prime factors of 47130 are 2, 3, 5, 1571. Prime factorization of 47130 in exponential form is:

47130 = 2¹ × 3¹ × 5¹ × 1571¹

Step-3: Factors of 47125

List of positive integer factors of 47125 that divides 47125 without a remainder.

1, 5, 13, 25, 29, 65, 125, 145, 325, 377, 725, 1625, 1885, 3625, 9425

Step-4: Factors of 47130

List of positive integer factors of 47130 that divides 47125 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1571, 3142, 4713, 7855, 9426, 15710, 23565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47125 and 47130. The biggest common factor number is the GCF number.
So the greatest common factor 47125 and 47130 is 5.

Also check out the Least Common Multiple of 47125 and 47130