What is the Greatest Common Factor of 47879 and 47892?

Greatest common factor (GCF) of 47879 and 47892 is 13.

GCF(47879,47892) = 13

We will now calculate the prime factors of 47879 and 47892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47879 and 47892.

How to find the GCF of 47879 and 47892?

We will first find the prime factorization of 47879 and 47892. After we will calculate the factors of 47879 and 47892 and find the biggest common factor number .

Step-1: Prime Factorization of 47879

Prime factors of 47879 are 13, 29, 127. Prime factorization of 47879 in exponential form is:

47879 = 13¹ × 29¹ × 127¹

Step-2: Prime Factorization of 47892

Prime factors of 47892 are 2, 3, 13, 307. Prime factorization of 47892 in exponential form is:

47892 = 2² × 3¹ × 13¹ × 307¹

Step-3: Factors of 47879

List of positive integer factors of 47879 that divides 47879 without a remainder.

1, 13, 29, 127, 377, 1651, 3683

Step-4: Factors of 47892

List of positive integer factors of 47892 that divides 47879 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 307, 614, 921, 1228, 1842, 3684, 3991, 7982, 11973, 15964, 23946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47879 and 47892. The biggest common factor number is the GCF number.
So the greatest common factor 47879 and 47892 is 13.

Also check out the Least Common Multiple of 47879 and 47892