What is the Greatest Common Factor of 50625 and 50635?

Greatest common factor (GCF) of 50625 and 50635 is 5.

GCF(50625,50635) = 5

We will now calculate the prime factors of 50625 and 50635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50625 and 50635.

How to find the GCF of 50625 and 50635?

We will first find the prime factorization of 50625 and 50635. After we will calculate the factors of 50625 and 50635 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 50635

Prime factors of 50635 are 5, 13, 19, 41. Prime factorization of 50635 in exponential form is:

50635 = 5¹ × 13¹ × 19¹ × 41¹

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 50635

List of positive integer factors of 50635 that divides 50625 without a remainder.

1, 5, 13, 19, 41, 65, 95, 205, 247, 533, 779, 1235, 2665, 3895, 10127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50625 and 50635. The biggest common factor number is the GCF number.
So the greatest common factor 50625 and 50635 is 5.

Also check out the Least Common Multiple of 50625 and 50635