What is the Greatest Common Factor of 47937 and 47952?

Greatest common factor (GCF) of 47937 and 47952 is 3.

GCF(47937,47952) = 3

We will now calculate the prime factors of 47937 and 47952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47937 and 47952.

How to find the GCF of 47937 and 47952?

We will first find the prime factorization of 47937 and 47952. After we will calculate the factors of 47937 and 47952 and find the biggest common factor number .

Step-1: Prime Factorization of 47937

Prime factors of 47937 are 3, 19, 29. Prime factorization of 47937 in exponential form is:

47937 = 3¹ × 19¹ × 29²

Step-2: Prime Factorization of 47952

Prime factors of 47952 are 2, 3, 37. Prime factorization of 47952 in exponential form is:

47952 = 2⁴ × 3⁴ × 37¹

Step-3: Factors of 47937

List of positive integer factors of 47937 that divides 47937 without a remainder.

1, 3, 19, 29, 57, 87, 551, 841, 1653, 2523, 15979

Step-4: Factors of 47952

List of positive integer factors of 47952 that divides 47937 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 37, 48, 54, 72, 74, 81, 108, 111, 144, 148, 162, 216, 222, 296, 324, 333, 432, 444, 592, 648, 666, 888, 999, 1296, 1332, 1776, 1998, 2664, 2997, 3996, 5328, 5994, 7992, 11988, 15984, 23976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47937 and 47952. The biggest common factor number is the GCF number.
So the greatest common factor 47937 and 47952 is 3.

Also check out the Least Common Multiple of 47937 and 47952