What is the Greatest Common Factor of 48267 and 48279?

Greatest common factor (GCF) of 48267 and 48279 is 3.

GCF(48267,48279) = 3

We will now calculate the prime factors of 48267 and 48279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48267 and 48279.

How to find the GCF of 48267 and 48279?

We will first find the prime factorization of 48267 and 48279. After we will calculate the factors of 48267 and 48279 and find the biggest common factor number .

Step-1: Prime Factorization of 48267

Prime factors of 48267 are 3, 31, 173. Prime factorization of 48267 in exponential form is:

48267 = 3² × 31¹ × 173¹

Step-2: Prime Factorization of 48279

Prime factors of 48279 are 3, 7, 11, 19. Prime factorization of 48279 in exponential form is:

48279 = 3¹ × 7¹ × 11² × 19¹

Step-3: Factors of 48267

List of positive integer factors of 48267 that divides 48267 without a remainder.

1, 3, 9, 31, 93, 173, 279, 519, 1557, 5363, 16089

Step-4: Factors of 48279

List of positive integer factors of 48279 that divides 48267 without a remainder.

1, 3, 7, 11, 19, 21, 33, 57, 77, 121, 133, 209, 231, 363, 399, 627, 847, 1463, 2299, 2541, 4389, 6897, 16093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48267 and 48279. The biggest common factor number is the GCF number.
So the greatest common factor 48267 and 48279 is 3.

Also check out the Least Common Multiple of 48267 and 48279