What is the Greatest Common Factor of 50025 and 50031?

Greatest common factor (GCF) of 50025 and 50031 is 3.

GCF(50025,50031) = 3

We will now calculate the prime factors of 50025 and 50031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50025 and 50031.

How to find the GCF of 50025 and 50031?

We will first find the prime factorization of 50025 and 50031. After we will calculate the factors of 50025 and 50031 and find the biggest common factor number .

Step-1: Prime Factorization of 50025

Prime factors of 50025 are 3, 5, 23, 29. Prime factorization of 50025 in exponential form is:

50025 = 3¹ × 5² × 23¹ × 29¹

Step-2: Prime Factorization of 50031

Prime factors of 50031 are 3, 17, 109. Prime factorization of 50031 in exponential form is:

50031 = 3³ × 17¹ × 109¹

Step-3: Factors of 50025

List of positive integer factors of 50025 that divides 50025 without a remainder.

1, 3, 5, 15, 23, 25, 29, 69, 75, 87, 115, 145, 345, 435, 575, 667, 725, 1725, 2001, 2175, 3335, 10005, 16675

Step-4: Factors of 50031

List of positive integer factors of 50031 that divides 50025 without a remainder.

1, 3, 9, 17, 27, 51, 109, 153, 327, 459, 981, 1853, 2943, 5559, 16677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50025 and 50031. The biggest common factor number is the GCF number.
So the greatest common factor 50025 and 50031 is 3.

Also check out the Least Common Multiple of 50025 and 50031