What is the Greatest Common Factor of 50025 and 50032?

Greatest common factor (GCF) of 50025 and 50032 is 1.

GCF(50025,50032) = 1

We will now calculate the prime factors of 50025 and 50032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50025 and 50032.

How to find the GCF of 50025 and 50032?

We will first find the prime factorization of 50025 and 50032. After we will calculate the factors of 50025 and 50032 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 50032

Prime factors of 50032 are 2, 53, 59. Prime factorization of 50032 in exponential form is:

50032 = 2⁴ × 53¹ × 59¹

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 50032

List of positive integer factors of 50032 that divides 50025 without a remainder.

1, 2, 4, 8, 16, 53, 59, 106, 118, 212, 236, 424, 472, 848, 944, 3127, 6254, 12508, 25016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50025 and 50032. The biggest common factor number is the GCF number.
So the greatest common factor 50025 and 50032 is 1.

Also check out the Least Common Multiple of 50025 and 50032