What is the Greatest Common Factor of 50220 and 50235?

Greatest common factor (GCF) of 50220 and 50235 is 15.

GCF(50220,50235) = 15

We will now calculate the prime factors of 50220 and 50235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50220 and 50235.

How to find the GCF of 50220 and 50235?

We will first find the prime factorization of 50220 and 50235. After we will calculate the factors of 50220 and 50235 and find the biggest common factor number .

Step-1: Prime Factorization of 50220

Prime factors of 50220 are 2, 3, 5, 31. Prime factorization of 50220 in exponential form is:

50220 = 2² × 3⁴ × 5¹ × 31¹

Step-2: Prime Factorization of 50235

Prime factors of 50235 are 3, 5, 17, 197. Prime factorization of 50235 in exponential form is:

50235 = 3¹ × 5¹ × 17¹ × 197¹

Step-3: Factors of 50220

List of positive integer factors of 50220 that divides 50220 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 31, 36, 45, 54, 60, 62, 81, 90, 93, 108, 124, 135, 155, 162, 180, 186, 270, 279, 310, 324, 372, 405, 465, 540, 558, 620, 810, 837, 930, 1116, 1395, 1620, 1674, 1860, 2511, 2790, 3348, 4185, 5022, 5580, 8370, 10044, 12555, 16740, 25110

Step-4: Factors of 50235

List of positive integer factors of 50235 that divides 50220 without a remainder.

1, 3, 5, 15, 17, 51, 85, 197, 255, 591, 985, 2955, 3349, 10047, 16745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50220 and 50235. The biggest common factor number is the GCF number.
So the greatest common factor 50220 and 50235 is 15.

Also check out the Least Common Multiple of 50220 and 50235