What is the Greatest Common Factor of 47110 and 47125?

Greatest common factor (GCF) of 47110 and 47125 is 5.

GCF(47110,47125) = 5

We will now calculate the prime factors of 47110 and 47125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47110 and 47125.

How to find the GCF of 47110 and 47125?

We will first find the prime factorization of 47110 and 47125. After we will calculate the factors of 47110 and 47125 and find the biggest common factor number .

Step-1: Prime Factorization of 47110

Prime factors of 47110 are 2, 5, 7, 673. Prime factorization of 47110 in exponential form is:

47110 = 2¹ × 5¹ × 7¹ × 673¹

Step-2: 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-3: Factors of 47110

List of positive integer factors of 47110 that divides 47110 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 673, 1346, 3365, 4711, 6730, 9422, 23555

Step-4: Factors of 47125

List of positive integer factors of 47125 that divides 47110 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47110 and 47125. The biggest common factor number is the GCF number.
So the greatest common factor 47110 and 47125 is 5.

Also check out the Least Common Multiple of 47110 and 47125