What is the Greatest Common Factor of 4977 and 4993?

Greatest common factor (GCF) of 4977 and 4993 is 1.

GCF(4977,4993) = 1

We will now calculate the prime factors of 4977 and 4993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4977 and 4993.

How to find the GCF of 4977 and 4993?

We will first find the prime factorization of 4977 and 4993. After we will calculate the factors of 4977 and 4993 and find the biggest common factor number .

Step-1: Prime Factorization of 4977

Prime factors of 4977 are 3, 7, 79. Prime factorization of 4977 in exponential form is:

4977 = 3² × 7¹ × 79¹

Step-2: Prime Factorization of 4993

Prime factors of 4993 are 4993. Prime factorization of 4993 in exponential form is:

4993 = 4993¹

Step-3: Factors of 4977

List of positive integer factors of 4977 that divides 4977 without a remainder.

1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659

Step-4: Factors of 4993

List of positive integer factors of 4993 that divides 4977 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4977 and 4993. The biggest common factor number is the GCF number.
So the greatest common factor 4977 and 4993 is 1.

Also check out the Least Common Multiple of 4977 and 4993