What is the Greatest Common Factor of 50625 and 50633?

Greatest common factor (GCF) of 50625 and 50633 is 1.

GCF(50625,50633) = 1

We will now calculate the prime factors of 50625 and 50633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50625 and 50633.

How to find the GCF of 50625 and 50633?

We will first find the prime factorization of 50625 and 50633. After we will calculate the factors of 50625 and 50633 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 50633

Prime factors of 50633 are 11, 4603. Prime factorization of 50633 in exponential form is:

50633 = 11¹ × 4603¹

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 50633

List of positive integer factors of 50633 that divides 50625 without a remainder.

1, 11, 4603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50625 and 50633. The biggest common factor number is the GCF number.
So the greatest common factor 50625 and 50633 is 1.

Also check out the Least Common Multiple of 50625 and 50633