What is the Greatest Common Factor of 4713 and 4731?

Greatest common factor (GCF) of 4713 and 4731 is 3.

GCF(4713,4731) = 3

We will now calculate the prime factors of 4713 and 4731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4713 and 4731.

How to find the GCF of 4713 and 4731?

We will first find the prime factorization of 4713 and 4731. After we will calculate the factors of 4713 and 4731 and find the biggest common factor number .

Step-1: Prime Factorization of 4713

Prime factors of 4713 are 3, 1571. Prime factorization of 4713 in exponential form is:

4713 = 3¹ × 1571¹

Step-2: 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-3: Factors of 4713

List of positive integer factors of 4713 that divides 4713 without a remainder.

1, 3, 1571

Step-4: Factors of 4731

List of positive integer factors of 4731 that divides 4713 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4713 and 4731. The biggest common factor number is the GCF number.
So the greatest common factor 4713 and 4731 is 3.

Also check out the Least Common Multiple of 4713 and 4731