What is the Greatest Common Factor of 4731 and 4751?

Greatest common factor (GCF) of 4731 and 4751 is 1.

GCF(4731,4751) = 1

We will now calculate the prime factors of 4731 and 4751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4731 and 4751.

How to find the GCF of 4731 and 4751?

We will first find the prime factorization of 4731 and 4751. After we will calculate the factors of 4731 and 4751 and find the biggest common factor number .

Step-1: Prime Factorization of 4731

Prime factors of 4731 are 3, 19, 83. Prime factorization of 4731 in exponential form is:

4731 = 3¹ × 19¹ × 83¹

Step-2: Prime Factorization of 4751

Prime factors of 4751 are 4751. Prime factorization of 4751 in exponential form is:

4751 = 4751¹

Step-3: Factors of 4731

List of positive integer factors of 4731 that divides 4731 without a remainder.

1, 3, 19, 57, 83, 249, 1577

Step-4: Factors of 4751

List of positive integer factors of 4751 that divides 4731 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4731 and 4751. The biggest common factor number is the GCF number.
So the greatest common factor 4731 and 4751 is 1.

Also check out the Least Common Multiple of 4731 and 4751