What is the Greatest Common Factor of 4959 and 4967?

Greatest common factor (GCF) of 4959 and 4967 is 1.

GCF(4959,4967) = 1

We will now calculate the prime factors of 4959 and 4967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4959 and 4967.

How to find the GCF of 4959 and 4967?

We will first find the prime factorization of 4959 and 4967. After we will calculate the factors of 4959 and 4967 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 4967

Prime factors of 4967 are 4967. Prime factorization of 4967 in exponential form is:

4967 = 4967¹

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 4967

List of positive integer factors of 4967 that divides 4959 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4959 and 4967. The biggest common factor number is the GCF number.
So the greatest common factor 4959 and 4967 is 1.

Also check out the Least Common Multiple of 4959 and 4967