What is the Greatest Common Factor of 50274 and 50288?

Greatest common factor (GCF) of 50274 and 50288 is 14.

GCF(50274,50288) = 14

We will now calculate the prime factors of 50274 and 50288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50274 and 50288.

How to find the GCF of 50274 and 50288?

We will first find the prime factorization of 50274 and 50288. After we will calculate the factors of 50274 and 50288 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 50288

Prime factors of 50288 are 2, 7, 449. Prime factorization of 50288 in exponential form is:

50288 = 2⁴ × 7¹ × 449¹

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 50288

List of positive integer factors of 50288 that divides 50274 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 449, 898, 1796, 3143, 3592, 6286, 7184, 12572, 25144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50274 and 50288. The biggest common factor number is the GCF number.
So the greatest common factor 50274 and 50288 is 14.

Also check out the Least Common Multiple of 50274 and 50288