What is the Greatest Common Factor of 4765 and 4780?

Greatest common factor (GCF) of 4765 and 4780 is 5.

GCF(4765,4780) = 5

We will now calculate the prime factors of 4765 and 4780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4765 and 4780.

How to find the GCF of 4765 and 4780?

We will first find the prime factorization of 4765 and 4780. After we will calculate the factors of 4765 and 4780 and find the biggest common factor number .

Step-1: Prime Factorization of 4765

Prime factors of 4765 are 5, 953. Prime factorization of 4765 in exponential form is:

4765 = 5¹ × 953¹

Step-2: Prime Factorization of 4780

Prime factors of 4780 are 2, 5, 239. Prime factorization of 4780 in exponential form is:

4780 = 2² × 5¹ × 239¹

Step-3: Factors of 4765

List of positive integer factors of 4765 that divides 4765 without a remainder.

1, 5, 953

Step-4: Factors of 4780

List of positive integer factors of 4780 that divides 4765 without a remainder.

1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4765 and 4780. The biggest common factor number is the GCF number.
So the greatest common factor 4765 and 4780 is 5.

Also check out the Least Common Multiple of 4765 and 4780