What is the Greatest Common Factor of 4736 and 4749?

Greatest common factor (GCF) of 4736 and 4749 is 1.

GCF(4736,4749) = 1

We will now calculate the prime factors of 4736 and 4749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4736 and 4749.

How to find the GCF of 4736 and 4749?

We will first find the prime factorization of 4736 and 4749. After we will calculate the factors of 4736 and 4749 and find the biggest common factor number .

Step-1: Prime Factorization of 4736

Prime factors of 4736 are 2, 37. Prime factorization of 4736 in exponential form is:

4736 = 2⁷ × 37¹

Step-2: Prime Factorization of 4749

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

4749 = 3¹ × 1583¹

Step-3: Factors of 4736

List of positive integer factors of 4736 that divides 4736 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368

Step-4: Factors of 4749

List of positive integer factors of 4749 that divides 4736 without a remainder.

1, 3, 1583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4736 and 4749. The biggest common factor number is the GCF number.
So the greatest common factor 4736 and 4749 is 1.

Also check out the Least Common Multiple of 4736 and 4749