What is the Greatest Common Factor of 50625 and 50630?

Greatest common factor (GCF) of 50625 and 50630 is 5.

GCF(50625,50630) = 5

We will now calculate the prime factors of 50625 and 50630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50625 and 50630.

How to find the GCF of 50625 and 50630?

We will first find the prime factorization of 50625 and 50630. After we will calculate the factors of 50625 and 50630 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 50630

Prime factors of 50630 are 2, 5, 61, 83. Prime factorization of 50630 in exponential form is:

50630 = 2¹ × 5¹ × 61¹ × 83¹

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 50630

List of positive integer factors of 50630 that divides 50625 without a remainder.

1, 2, 5, 10, 61, 83, 122, 166, 305, 415, 610, 830, 5063, 10126, 25315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50625 and 50630. The biggest common factor number is the GCF number.
So the greatest common factor 50625 and 50630 is 5.

Also check out the Least Common Multiple of 50625 and 50630