What is the Greatest Common Factor of 50274 and 50281?

Greatest common factor (GCF) of 50274 and 50281 is 7.

GCF(50274,50281) = 7

We will now calculate the prime factors of 50274 and 50281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50274 and 50281.

How to find the GCF of 50274 and 50281?

We will first find the prime factorization of 50274 and 50281. After we will calculate the factors of 50274 and 50281 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 50281

Prime factors of 50281 are 7, 11, 653. Prime factorization of 50281 in exponential form is:

50281 = 7¹ × 11¹ × 653¹

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 50281

List of positive integer factors of 50281 that divides 50274 without a remainder.

1, 7, 11, 77, 653, 4571, 7183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50274 and 50281. The biggest common factor number is the GCF number.
So the greatest common factor 50274 and 50281 is 7.

Also check out the Least Common Multiple of 50274 and 50281