What is the Greatest Common Factor of 4965 and 4985?

Greatest common factor (GCF) of 4965 and 4985 is 5.

GCF(4965,4985) = 5

We will now calculate the prime factors of 4965 and 4985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4965 and 4985.

How to find the GCF of 4965 and 4985?

We will first find the prime factorization of 4965 and 4985. After we will calculate the factors of 4965 and 4985 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 4985

Prime factors of 4985 are 5, 997. Prime factorization of 4985 in exponential form is:

4985 = 5¹ × 997¹

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 4985

List of positive integer factors of 4985 that divides 4965 without a remainder.

1, 5, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4965 and 4985. The biggest common factor number is the GCF number.
So the greatest common factor 4965 and 4985 is 5.

Also check out the Least Common Multiple of 4965 and 4985