What is the Greatest Common Factor of 50025 and 50034?

Greatest common factor (GCF) of 50025 and 50034 is 3.

GCF(50025,50034) = 3

We will now calculate the prime factors of 50025 and 50034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50025 and 50034.

How to find the GCF of 50025 and 50034?

We will first find the prime factorization of 50025 and 50034. After we will calculate the factors of 50025 and 50034 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 50034

Prime factors of 50034 are 2, 3, 31, 269. Prime factorization of 50034 in exponential form is:

50034 = 2¹ × 3¹ × 31¹ × 269¹

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 50034

List of positive integer factors of 50034 that divides 50025 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 269, 538, 807, 1614, 8339, 16678, 25017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50025 and 50034. The biggest common factor number is the GCF number.
So the greatest common factor 50025 and 50034 is 3.

Also check out the Least Common Multiple of 50025 and 50034