What is the Greatest Common Factor of 4965 and 4977?

Greatest common factor (GCF) of 4965 and 4977 is 3.

GCF(4965,4977) = 3

We will now calculate the prime factors of 4965 and 4977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4965 and 4977.

How to find the GCF of 4965 and 4977?

We will first find the prime factorization of 4965 and 4977. After we will calculate the factors of 4965 and 4977 and find the biggest common factor number .

Step-1: Prime Factorization of 4965

Prime factors of 4965 are 3, 5, 331. Prime factorization of 4965 in exponential form is:

4965 = 3¹ × 5¹ × 331¹

Step-2: 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-3: Factors of 4965

List of positive integer factors of 4965 that divides 4965 without a remainder.

1, 3, 5, 15, 331, 993, 1655

Step-4: Factors of 4977

List of positive integer factors of 4977 that divides 4965 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4965 and 4977. The biggest common factor number is the GCF number.
So the greatest common factor 4965 and 4977 is 3.

Also check out the Least Common Multiple of 4965 and 4977