What is the Greatest Common Factor of 4749 and 4761?

Greatest common factor (GCF) of 4749 and 4761 is 3.

GCF(4749,4761) = 3

We will now calculate the prime factors of 4749 and 4761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4749 and 4761.

How to find the GCF of 4749 and 4761?

We will first find the prime factorization of 4749 and 4761. After we will calculate the factors of 4749 and 4761 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 4761

Prime factors of 4761 are 3, 23. Prime factorization of 4761 in exponential form is:

4761 = 3² × 23²

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 4761

List of positive integer factors of 4761 that divides 4749 without a remainder.

1, 3, 9, 23, 69, 207, 529, 1587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4749 and 4761. The biggest common factor number is the GCF number.
So the greatest common factor 4749 and 4761 is 3.

Also check out the Least Common Multiple of 4749 and 4761