What is the Greatest Common Factor of 47873 and 47879?

Greatest common factor (GCF) of 47873 and 47879 is 1.

GCF(47873,47879) = 1

We will now calculate the prime factors of 47873 and 47879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47873 and 47879.

How to find the GCF of 47873 and 47879?

We will first find the prime factorization of 47873 and 47879. After we will calculate the factors of 47873 and 47879 and find the biggest common factor number .

Step-1: Prime Factorization of 47873

Prime factors of 47873 are 7, 977. Prime factorization of 47873 in exponential form is:

47873 = 7² × 977¹

Step-2: 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-3: Factors of 47873

List of positive integer factors of 47873 that divides 47873 without a remainder.

1, 7, 49, 977, 6839

Step-4: Factors of 47879

List of positive integer factors of 47879 that divides 47873 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47873 and 47879. The biggest common factor number is the GCF number.
So the greatest common factor 47873 and 47879 is 1.

Also check out the Least Common Multiple of 47873 and 47879