What is the Greatest Common Factor of 50274 and 50293?

Greatest common factor (GCF) of 50274 and 50293 is 19.

GCF(50274,50293) = 19

We will now calculate the prime factors of 50274 and 50293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50274 and 50293.

How to find the GCF of 50274 and 50293?

We will first find the prime factorization of 50274 and 50293. After we will calculate the factors of 50274 and 50293 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 50293

Prime factors of 50293 are 19, 2647. Prime factorization of 50293 in exponential form is:

50293 = 19¹ × 2647¹

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 50293

List of positive integer factors of 50293 that divides 50274 without a remainder.

1, 19, 2647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50274 and 50293. The biggest common factor number is the GCF number.
So the greatest common factor 50274 and 50293 is 19.

Also check out the Least Common Multiple of 50274 and 50293