What is the Greatest Common Factor of 50268 and 50280?

Greatest common factor (GCF) of 50268 and 50280 is 12.

GCF(50268,50280) = 12

We will now calculate the prime factors of 50268 and 50280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50268 and 50280.

How to find the GCF of 50268 and 50280?

We will first find the prime factorization of 50268 and 50280. After we will calculate the factors of 50268 and 50280 and find the biggest common factor number .

Step-1: Prime Factorization of 50268

Prime factors of 50268 are 2, 3, 59, 71. Prime factorization of 50268 in exponential form is:

50268 = 2² × 3¹ × 59¹ × 71¹

Step-2: Prime Factorization of 50280

Prime factors of 50280 are 2, 3, 5, 419. Prime factorization of 50280 in exponential form is:

50280 = 2³ × 3¹ × 5¹ × 419¹

Step-3: Factors of 50268

List of positive integer factors of 50268 that divides 50268 without a remainder.

1, 2, 3, 4, 6, 12, 59, 71, 118, 142, 177, 213, 236, 284, 354, 426, 708, 852, 4189, 8378, 12567, 16756, 25134

Step-4: Factors of 50280

List of positive integer factors of 50280 that divides 50268 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 419, 838, 1257, 1676, 2095, 2514, 3352, 4190, 5028, 6285, 8380, 10056, 12570, 16760, 25140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50268 and 50280. The biggest common factor number is the GCF number.
So the greatest common factor 50268 and 50280 is 12.

Also check out the Least Common Multiple of 50268 and 50280