What is the Greatest Common Factor of 50595 and 50610?

Greatest common factor (GCF) of 50595 and 50610 is 15.

GCF(50595,50610) = 15

We will now calculate the prime factors of 50595 and 50610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50595 and 50610.

How to find the GCF of 50595 and 50610?

We will first find the prime factorization of 50595 and 50610. After we will calculate the factors of 50595 and 50610 and find the biggest common factor number .

Step-1: Prime Factorization of 50595

Prime factors of 50595 are 3, 5, 3373. Prime factorization of 50595 in exponential form is:

50595 = 3¹ × 5¹ × 3373¹

Step-2: Prime Factorization of 50610

Prime factors of 50610 are 2, 3, 5, 7, 241. Prime factorization of 50610 in exponential form is:

50610 = 2¹ × 3¹ × 5¹ × 7¹ × 241¹

Step-3: Factors of 50595

List of positive integer factors of 50595 that divides 50595 without a remainder.

1, 3, 5, 15, 3373, 10119, 16865

Step-4: Factors of 50610

List of positive integer factors of 50610 that divides 50595 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 241, 482, 723, 1205, 1446, 1687, 2410, 3374, 3615, 5061, 7230, 8435, 10122, 16870, 25305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50595 and 50610. The biggest common factor number is the GCF number.
So the greatest common factor 50595 and 50610 is 15.

Also check out the Least Common Multiple of 50595 and 50610