What is the Greatest Common Factor of 47952 and 47956?

Greatest common factor (GCF) of 47952 and 47956 is 4.

GCF(47952,47956) = 4

We will now calculate the prime factors of 47952 and 47956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47952 and 47956.

How to find the GCF of 47952 and 47956?

We will first find the prime factorization of 47952 and 47956. After we will calculate the factors of 47952 and 47956 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47956

Prime factors of 47956 are 2, 19, 631. Prime factorization of 47956 in exponential form is:

47956 = 2² × 19¹ × 631¹

Step-3: Factors of 47952

List of positive integer factors of 47952 that divides 47952 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

Step-4: Factors of 47956

List of positive integer factors of 47956 that divides 47952 without a remainder.

1, 2, 4, 19, 38, 76, 631, 1262, 2524, 11989, 23978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47952 and 47956. The biggest common factor number is the GCF number.
So the greatest common factor 47952 and 47956 is 4.

Also check out the Least Common Multiple of 47952 and 47956