What is the Greatest Common Factor of 4966 and 4971?

Greatest common factor (GCF) of 4966 and 4971 is 1.

GCF(4966,4971) = 1

We will now calculate the prime factors of 4966 and 4971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4966 and 4971.

How to find the GCF of 4966 and 4971?

We will first find the prime factorization of 4966 and 4971. After we will calculate the factors of 4966 and 4971 and find the biggest common factor number .

Step-1: Prime Factorization of 4966

Prime factors of 4966 are 2, 13, 191. Prime factorization of 4966 in exponential form is:

4966 = 2¹ × 13¹ × 191¹

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 4966

List of positive integer factors of 4966 that divides 4966 without a remainder.

1, 2, 13, 26, 191, 382, 2483

Step-4: Factors of 4971

List of positive integer factors of 4971 that divides 4966 without a remainder.

1, 3, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4966 and 4971. The biggest common factor number is the GCF number.
So the greatest common factor 4966 and 4971 is 1.

Also check out the Least Common Multiple of 4966 and 4971