What is the Greatest Common Factor of 47625 and 47634?

Greatest common factor (GCF) of 47625 and 47634 is 3.

GCF(47625,47634) = 3

We will now calculate the prime factors of 47625 and 47634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47625 and 47634.

How to find the GCF of 47625 and 47634?

We will first find the prime factorization of 47625 and 47634. After we will calculate the factors of 47625 and 47634 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 47634

Prime factors of 47634 are 2, 3, 17, 467. Prime factorization of 47634 in exponential form is:

47634 = 2¹ × 3¹ × 17¹ × 467¹

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 47634

List of positive integer factors of 47634 that divides 47625 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 467, 934, 1401, 2802, 7939, 15878, 23817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47625 and 47634. The biggest common factor number is the GCF number.
So the greatest common factor 47625 and 47634 is 3.

Also check out the Least Common Multiple of 47625 and 47634