What is the Greatest Common Factor of 50025 and 50038?

Greatest common factor (GCF) of 50025 and 50038 is 1.

GCF(50025,50038) = 1

We will now calculate the prime factors of 50025 and 50038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50025 and 50038.

How to find the GCF of 50025 and 50038?

We will first find the prime factorization of 50025 and 50038. After we will calculate the factors of 50025 and 50038 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 50038

Prime factors of 50038 are 2, 127, 197. Prime factorization of 50038 in exponential form is:

50038 = 2¹ × 127¹ × 197¹

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 50038

List of positive integer factors of 50038 that divides 50025 without a remainder.

1, 2, 127, 197, 254, 394, 25019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50025 and 50038. The biggest common factor number is the GCF number.
So the greatest common factor 50025 and 50038 is 1.

Also check out the Least Common Multiple of 50025 and 50038