What is the Greatest Common Factor of 50625 and 50645?

Greatest common factor (GCF) of 50625 and 50645 is 5.

GCF(50625,50645) = 5

We will now calculate the prime factors of 50625 and 50645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50625 and 50645.

How to find the GCF of 50625 and 50645?

We will first find the prime factorization of 50625 and 50645. After we will calculate the factors of 50625 and 50645 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 50645

Prime factors of 50645 are 5, 7, 1447. Prime factorization of 50645 in exponential form is:

50645 = 5¹ × 7¹ × 1447¹

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 50645

List of positive integer factors of 50645 that divides 50625 without a remainder.

1, 5, 7, 35, 1447, 7235, 10129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50625 and 50645. The biggest common factor number is the GCF number.
So the greatest common factor 50625 and 50645 is 5.

Also check out the Least Common Multiple of 50625 and 50645