What is the Greatest Common Factor of 59272 and 59284?

Greatest common factor (GCF) of 59272 and 59284 is 4.

GCF(59272,59284) = 4

We will now calculate the prime factors of 59272 and 59284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59272 and 59284.

How to find the GCF of 59272 and 59284?

We will first find the prime factorization of 59272 and 59284. After we will calculate the factors of 59272 and 59284 and find the biggest common factor number .

Step-1: Prime Factorization of 59272

Prime factors of 59272 are 2, 31, 239. Prime factorization of 59272 in exponential form is:

59272 = 2³ × 31¹ × 239¹

Step-2: Prime Factorization of 59284

Prime factors of 59284 are 2, 14821. Prime factorization of 59284 in exponential form is:

59284 = 2² × 14821¹

Step-3: Factors of 59272

List of positive integer factors of 59272 that divides 59272 without a remainder.

1, 2, 4, 8, 31, 62, 124, 239, 248, 478, 956, 1912, 7409, 14818, 29636

Step-4: Factors of 59284

List of positive integer factors of 59284 that divides 59272 without a remainder.

1, 2, 4, 14821, 29642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59272 and 59284. The biggest common factor number is the GCF number.
So the greatest common factor 59272 and 59284 is 4.

Also check out the Least Common Multiple of 59272 and 59284