What is the Greatest Common Factor of 50268 and 50282?

Greatest common factor (GCF) of 50268 and 50282 is 2.

GCF(50268,50282) = 2

We will now calculate the prime factors of 50268 and 50282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50268 and 50282.

How to find the GCF of 50268 and 50282?

We will first find the prime factorization of 50268 and 50282. After we will calculate the factors of 50268 and 50282 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 50282

Prime factors of 50282 are 2, 31, 811. Prime factorization of 50282 in exponential form is:

50282 = 2¹ × 31¹ × 811¹

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 50282

List of positive integer factors of 50282 that divides 50268 without a remainder.

1, 2, 31, 62, 811, 1622, 25141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50268 and 50282. The biggest common factor number is the GCF number.
So the greatest common factor 50268 and 50282 is 2.

Also check out the Least Common Multiple of 50268 and 50282