What is the Greatest Common Factor of 4883 and 4900?

Greatest common factor (GCF) of 4883 and 4900 is 1.

GCF(4883,4900) = 1

We will now calculate the prime factors of 4883 and 4900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4883 and 4900.

How to find the GCF of 4883 and 4900?

We will first find the prime factorization of 4883 and 4900. After we will calculate the factors of 4883 and 4900 and find the biggest common factor number .

Step-1: Prime Factorization of 4883

Prime factors of 4883 are 19, 257. Prime factorization of 4883 in exponential form is:

4883 = 19¹ × 257¹

Step-2: Prime Factorization of 4900

Prime factors of 4900 are 2, 5, 7. Prime factorization of 4900 in exponential form is:

4900 = 2² × 5² × 7²

Step-3: Factors of 4883

List of positive integer factors of 4883 that divides 4883 without a remainder.

1, 19, 257

Step-4: Factors of 4900

List of positive integer factors of 4900 that divides 4883 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4883 and 4900. The biggest common factor number is the GCF number.
So the greatest common factor 4883 and 4900 is 1.

Also check out the Least Common Multiple of 4883 and 4900