What is the Greatest Common Factor of 50274 and 50286?

Greatest common factor (GCF) of 50274 and 50286 is 6.

GCF(50274,50286) = 6

We will now calculate the prime factors of 50274 and 50286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50274 and 50286.

How to find the GCF of 50274 and 50286?

We will first find the prime factorization of 50274 and 50286. After we will calculate the factors of 50274 and 50286 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50286

Prime factors of 50286 are 2, 3, 17, 29. Prime factorization of 50286 in exponential form is:

50286 = 2¹ × 3¹ × 17² × 29¹

Step-3: Factors of 50274

List of positive integer factors of 50274 that divides 50274 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

Step-4: Factors of 50286

List of positive integer factors of 50286 that divides 50274 without a remainder.

1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 289, 493, 578, 867, 986, 1479, 1734, 2958, 8381, 16762, 25143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50274 and 50286. The biggest common factor number is the GCF number.
So the greatest common factor 50274 and 50286 is 6.

Also check out the Least Common Multiple of 50274 and 50286