What is the Greatest Common Factor of 4959 and 4974?

Greatest common factor (GCF) of 4959 and 4974 is 3.

GCF(4959,4974) = 3

We will now calculate the prime factors of 4959 and 4974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4959 and 4974.

How to find the GCF of 4959 and 4974?

We will first find the prime factorization of 4959 and 4974. After we will calculate the factors of 4959 and 4974 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 4974

Prime factors of 4974 are 2, 3, 829. Prime factorization of 4974 in exponential form is:

4974 = 2¹ × 3¹ × 829¹

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 4974

List of positive integer factors of 4974 that divides 4959 without a remainder.

1, 2, 3, 6, 829, 1658, 2487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4959 and 4974. The biggest common factor number is the GCF number.
So the greatest common factor 4959 and 4974 is 3.

Also check out the Least Common Multiple of 4959 and 4974