What is the Greatest Common Factor of 4775 and 4783?

Greatest common factor (GCF) of 4775 and 4783 is 1.

GCF(4775,4783) = 1

We will now calculate the prime factors of 4775 and 4783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4775 and 4783.

How to find the GCF of 4775 and 4783?

We will first find the prime factorization of 4775 and 4783. After we will calculate the factors of 4775 and 4783 and find the biggest common factor number .

Step-1: Prime Factorization of 4775

Prime factors of 4775 are 5, 191. Prime factorization of 4775 in exponential form is:

4775 = 5² × 191¹

Step-2: Prime Factorization of 4783

Prime factors of 4783 are 4783. Prime factorization of 4783 in exponential form is:

4783 = 4783¹

Step-3: Factors of 4775

List of positive integer factors of 4775 that divides 4775 without a remainder.

1, 5, 25, 191, 955

Step-4: Factors of 4783

List of positive integer factors of 4783 that divides 4775 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4775 and 4783. The biggest common factor number is the GCF number.
So the greatest common factor 4775 and 4783 is 1.

Also check out the Least Common Multiple of 4775 and 4783