What is the Greatest Common Factor of 4959 and 4971?

Greatest common factor (GCF) of 4959 and 4971 is 3.

GCF(4959,4971) = 3

We will now calculate the prime factors of 4959 and 4971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4959 and 4971.

How to find the GCF of 4959 and 4971?

We will first find the prime factorization of 4959 and 4971. After we will calculate the factors of 4959 and 4971 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 4971

Prime factors of 4971 are 3, 1657. Prime factorization of 4971 in exponential form is:

4971 = 3¹ × 1657¹

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 4971

List of positive integer factors of 4971 that divides 4959 without a remainder.

1, 3, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4959 and 4971. The biggest common factor number is the GCF number.
So the greatest common factor 4959 and 4971 is 3.

Also check out the Least Common Multiple of 4959 and 4971