What is the Greatest Common Factor of 47125 and 47137?

Greatest common factor (GCF) of 47125 and 47137 is 1.

GCF(47125,47137) = 1

We will now calculate the prime factors of 47125 and 47137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47125 and 47137.

How to find the GCF of 47125 and 47137?

We will first find the prime factorization of 47125 and 47137. After we will calculate the factors of 47125 and 47137 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 47137

Prime factors of 47137 are 47137. Prime factorization of 47137 in exponential form is:

47137 = 47137¹

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 47137

List of positive integer factors of 47137 that divides 47125 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47125 and 47137. The biggest common factor number is the GCF number.
So the greatest common factor 47125 and 47137 is 1.

Also check out the Least Common Multiple of 47125 and 47137