What is the Greatest Common Factor of 4695 and 4700?

Greatest common factor (GCF) of 4695 and 4700 is 5.

GCF(4695,4700) = 5

We will now calculate the prime factors of 4695 and 4700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4695 and 4700.

How to find the GCF of 4695 and 4700?

We will first find the prime factorization of 4695 and 4700. After we will calculate the factors of 4695 and 4700 and find the biggest common factor number .

Step-1: Prime Factorization of 4695

Prime factors of 4695 are 3, 5, 313. Prime factorization of 4695 in exponential form is:

4695 = 3¹ × 5¹ × 313¹

Step-2: Prime Factorization of 4700

Prime factors of 4700 are 2, 5, 47. Prime factorization of 4700 in exponential form is:

4700 = 2² × 5² × 47¹

Step-3: Factors of 4695

List of positive integer factors of 4695 that divides 4695 without a remainder.

1, 3, 5, 15, 313, 939, 1565

Step-4: Factors of 4700

List of positive integer factors of 4700 that divides 4695 without a remainder.

1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 188, 235, 470, 940, 1175, 2350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4695 and 4700. The biggest common factor number is the GCF number.
So the greatest common factor 4695 and 4700 is 5.

Also check out the Least Common Multiple of 4695 and 4700