What is the Greatest Common Factor of 4959 and 4979?

Greatest common factor (GCF) of 4959 and 4979 is 1.

GCF(4959,4979) = 1

We will now calculate the prime factors of 4959 and 4979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4959 and 4979.

How to find the GCF of 4959 and 4979?

We will first find the prime factorization of 4959 and 4979. After we will calculate the factors of 4959 and 4979 and find the biggest common factor number .

Step-1: Prime Factorization of 4959

Prime factors of 4959 are 3, 19, 29. Prime factorization of 4959 in exponential form is:

4959 = 3² × 19¹ × 29¹

Step-2: Prime Factorization of 4979

Prime factors of 4979 are 13, 383. Prime factorization of 4979 in exponential form is:

4979 = 13¹ × 383¹

Step-3: Factors of 4959

List of positive integer factors of 4959 that divides 4959 without a remainder.

1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653

Step-4: Factors of 4979

List of positive integer factors of 4979 that divides 4959 without a remainder.

1, 13, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4959 and 4979. The biggest common factor number is the GCF number.
So the greatest common factor 4959 and 4979 is 1.

Also check out the Least Common Multiple of 4959 and 4979