What is the Greatest Common Factor of 4971 and 4983?

Greatest common factor (GCF) of 4971 and 4983 is 3.

GCF(4971,4983) = 3

We will now calculate the prime factors of 4971 and 4983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4971 and 4983.

How to find the GCF of 4971 and 4983?

We will first find the prime factorization of 4971 and 4983. After we will calculate the factors of 4971 and 4983 and find the biggest common factor number .

Step-1: Prime Factorization of 4971

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

4971 = 3¹ × 1657¹

Step-2: Prime Factorization of 4983

Prime factors of 4983 are 3, 11, 151. Prime factorization of 4983 in exponential form is:

4983 = 3¹ × 11¹ × 151¹

Step-3: Factors of 4971

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

1, 3, 1657

Step-4: Factors of 4983

List of positive integer factors of 4983 that divides 4971 without a remainder.

1, 3, 11, 33, 151, 453, 1661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4971 and 4983. The biggest common factor number is the GCF number.
So the greatest common factor 4971 and 4983 is 3.

Also check out the Least Common Multiple of 4971 and 4983