What is the Greatest Common Factor of 4735 and 4750?

Greatest common factor (GCF) of 4735 and 4750 is 5.

GCF(4735,4750) = 5

We will now calculate the prime factors of 4735 and 4750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4735 and 4750.

How to find the GCF of 4735 and 4750?

We will first find the prime factorization of 4735 and 4750. After we will calculate the factors of 4735 and 4750 and find the biggest common factor number .

Step-1: Prime Factorization of 4735

Prime factors of 4735 are 5, 947. Prime factorization of 4735 in exponential form is:

4735 = 5¹ × 947¹

Step-2: Prime Factorization of 4750

Prime factors of 4750 are 2, 5, 19. Prime factorization of 4750 in exponential form is:

4750 = 2¹ × 5³ × 19¹

Step-3: Factors of 4735

List of positive integer factors of 4735 that divides 4735 without a remainder.

1, 5, 947

Step-4: Factors of 4750

List of positive integer factors of 4750 that divides 4735 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 125, 190, 250, 475, 950, 2375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4735 and 4750. The biggest common factor number is the GCF number.
So the greatest common factor 4735 and 4750 is 5.

Also check out the Least Common Multiple of 4735 and 4750