What is the Greatest Common Factor of 4749 and 4766?

Greatest common factor (GCF) of 4749 and 4766 is 1.

GCF(4749,4766) = 1

We will now calculate the prime factors of 4749 and 4766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4749 and 4766.

How to find the GCF of 4749 and 4766?

We will first find the prime factorization of 4749 and 4766. After we will calculate the factors of 4749 and 4766 and find the biggest common factor number .

Step-1: Prime Factorization of 4749

Prime factors of 4749 are 3, 1583. Prime factorization of 4749 in exponential form is:

4749 = 3¹ × 1583¹

Step-2: Prime Factorization of 4766

Prime factors of 4766 are 2, 2383. Prime factorization of 4766 in exponential form is:

4766 = 2¹ × 2383¹

Step-3: Factors of 4749

List of positive integer factors of 4749 that divides 4749 without a remainder.

1, 3, 1583

Step-4: Factors of 4766

List of positive integer factors of 4766 that divides 4749 without a remainder.

1, 2, 2383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4749 and 4766. The biggest common factor number is the GCF number.
So the greatest common factor 4749 and 4766 is 1.

Also check out the Least Common Multiple of 4749 and 4766