What is the Greatest Common Factor of 4736 and 4747?

Greatest common factor (GCF) of 4736 and 4747 is 1.

GCF(4736,4747) = 1

We will now calculate the prime factors of 4736 and 4747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4736 and 4747.

How to find the GCF of 4736 and 4747?

We will first find the prime factorization of 4736 and 4747. After we will calculate the factors of 4736 and 4747 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 4747

Prime factors of 4747 are 47, 101. Prime factorization of 4747 in exponential form is:

4747 = 47¹ × 101¹

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 4747

List of positive integer factors of 4747 that divides 4736 without a remainder.

1, 47, 101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4736 and 4747. The biggest common factor number is the GCF number.
So the greatest common factor 4736 and 4747 is 1.

Also check out the Least Common Multiple of 4736 and 4747