What is the Greatest Common Factor of 50272 and 50292?

Greatest common factor (GCF) of 50272 and 50292 is 4.

GCF(50272,50292) = 4

We will now calculate the prime factors of 50272 and 50292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50272 and 50292.

How to find the GCF of 50272 and 50292?

We will first find the prime factorization of 50272 and 50292. After we will calculate the factors of 50272 and 50292 and find the biggest common factor number .

Step-1: Prime Factorization of 50272

Prime factors of 50272 are 2, 1571. Prime factorization of 50272 in exponential form is:

50272 = 2⁵ × 1571¹

Step-2: Prime Factorization of 50292

Prime factors of 50292 are 2, 3, 11, 127. Prime factorization of 50292 in exponential form is:

50292 = 2² × 3² × 11¹ × 127¹

Step-3: Factors of 50272

List of positive integer factors of 50272 that divides 50272 without a remainder.

1, 2, 4, 8, 16, 32, 1571, 3142, 6284, 12568, 25136

Step-4: Factors of 50292

List of positive integer factors of 50292 that divides 50272 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 127, 132, 198, 254, 381, 396, 508, 762, 1143, 1397, 1524, 2286, 2794, 4191, 4572, 5588, 8382, 12573, 16764, 25146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50272 and 50292. The biggest common factor number is the GCF number.
So the greatest common factor 50272 and 50292 is 4.

Also check out the Least Common Multiple of 50272 and 50292