What is the Greatest Common Factor of 50258 and 50274?

Greatest common factor (GCF) of 50258 and 50274 is 2.

GCF(50258,50274) = 2

We will now calculate the prime factors of 50258 and 50274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50258 and 50274.

How to find the GCF of 50258 and 50274?

We will first find the prime factorization of 50258 and 50274. After we will calculate the factors of 50258 and 50274 and find the biggest common factor number .

Step-1: Prime Factorization of 50258

Prime factors of 50258 are 2, 13, 1933. Prime factorization of 50258 in exponential form is:

50258 = 2¹ × 13¹ × 1933¹

Step-2: Prime Factorization of 50274

Prime factors of 50274 are 2, 3, 7, 19. Prime factorization of 50274 in exponential form is:

50274 = 2¹ × 3³ × 7² × 19¹

Step-3: Factors of 50258

List of positive integer factors of 50258 that divides 50258 without a remainder.

1, 2, 13, 26, 1933, 3866, 25129

Step-4: Factors of 50274

List of positive integer factors of 50274 that divides 50258 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 49, 54, 57, 63, 98, 114, 126, 133, 147, 171, 189, 266, 294, 342, 378, 399, 441, 513, 798, 882, 931, 1026, 1197, 1323, 1862, 2394, 2646, 2793, 3591, 5586, 7182, 8379, 16758, 25137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50258 and 50274. The biggest common factor number is the GCF number.
So the greatest common factor 50258 and 50274 is 2.

Also check out the Least Common Multiple of 50258 and 50274