What is the Greatest Common Factor of 50325 and 50340?

Greatest common factor (GCF) of 50325 and 50340 is 15.

GCF(50325,50340) = 15

We will now calculate the prime factors of 50325 and 50340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50325 and 50340.

How to find the GCF of 50325 and 50340?

We will first find the prime factorization of 50325 and 50340. After we will calculate the factors of 50325 and 50340 and find the biggest common factor number .

Step-1: Prime Factorization of 50325

Prime factors of 50325 are 3, 5, 11, 61. Prime factorization of 50325 in exponential form is:

50325 = 3¹ × 5² × 11¹ × 61¹

Step-2: Prime Factorization of 50340

Prime factors of 50340 are 2, 3, 5, 839. Prime factorization of 50340 in exponential form is:

50340 = 2² × 3¹ × 5¹ × 839¹

Step-3: Factors of 50325

List of positive integer factors of 50325 that divides 50325 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 61, 75, 165, 183, 275, 305, 671, 825, 915, 1525, 2013, 3355, 4575, 10065, 16775

Step-4: Factors of 50340

List of positive integer factors of 50340 that divides 50325 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 839, 1678, 2517, 3356, 4195, 5034, 8390, 10068, 12585, 16780, 25170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50325 and 50340. The biggest common factor number is the GCF number.
So the greatest common factor 50325 and 50340 is 15.

Also check out the Least Common Multiple of 50325 and 50340