What is the Greatest Common Factor of 47625 and 47640?

Greatest common factor (GCF) of 47625 and 47640 is 15.

GCF(47625,47640) = 15

We will now calculate the prime factors of 47625 and 47640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47625 and 47640.

How to find the GCF of 47625 and 47640?

We will first find the prime factorization of 47625 and 47640. After we will calculate the factors of 47625 and 47640 and find the biggest common factor number .

Step-1: Prime Factorization of 47625

Prime factors of 47625 are 3, 5, 127. Prime factorization of 47625 in exponential form is:

47625 = 3¹ × 5³ × 127¹

Step-2: Prime Factorization of 47640

Prime factors of 47640 are 2, 3, 5, 397. Prime factorization of 47640 in exponential form is:

47640 = 2³ × 3¹ × 5¹ × 397¹

Step-3: Factors of 47625

List of positive integer factors of 47625 that divides 47625 without a remainder.

1, 3, 5, 15, 25, 75, 125, 127, 375, 381, 635, 1905, 3175, 9525, 15875

Step-4: Factors of 47640

List of positive integer factors of 47640 that divides 47625 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 397, 794, 1191, 1588, 1985, 2382, 3176, 3970, 4764, 5955, 7940, 9528, 11910, 15880, 23820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47625 and 47640. The biggest common factor number is the GCF number.
So the greatest common factor 47625 and 47640 is 15.

Also check out the Least Common Multiple of 47625 and 47640