What is the Greatest Common Factor of 50625 and 50634?

Greatest common factor (GCF) of 50625 and 50634 is 9.

GCF(50625,50634) = 9

We will now calculate the prime factors of 50625 and 50634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50625 and 50634.

How to find the GCF of 50625 and 50634?

We will first find the prime factorization of 50625 and 50634. After we will calculate the factors of 50625 and 50634 and find the biggest common factor number .

Step-1: Prime Factorization of 50625

Prime factors of 50625 are 3, 5. Prime factorization of 50625 in exponential form is:

50625 = 3⁴ × 5⁴

Step-2: Prime Factorization of 50634

Prime factors of 50634 are 2, 3, 29, 97. Prime factorization of 50634 in exponential form is:

50634 = 2¹ × 3² × 29¹ × 97¹

Step-3: Factors of 50625

List of positive integer factors of 50625 that divides 50625 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 375, 405, 625, 675, 1125, 1875, 2025, 3375, 5625, 10125, 16875

Step-4: Factors of 50634

List of positive integer factors of 50634 that divides 50625 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 97, 174, 194, 261, 291, 522, 582, 873, 1746, 2813, 5626, 8439, 16878, 25317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50625 and 50634. The biggest common factor number is the GCF number.
So the greatest common factor 50625 and 50634 is 9.

Also check out the Least Common Multiple of 50625 and 50634