What is the Greatest Common Factor of 4704 and 4718?

Greatest common factor (GCF) of 4704 and 4718 is 14.

GCF(4704,4718) = 14

We will now calculate the prime factors of 4704 and 4718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4704 and 4718.

How to find the GCF of 4704 and 4718?

We will first find the prime factorization of 4704 and 4718. After we will calculate the factors of 4704 and 4718 and find the biggest common factor number .

Step-1: Prime Factorization of 4704

Prime factors of 4704 are 2, 3, 7. Prime factorization of 4704 in exponential form is:

4704 = 2⁵ × 3¹ × 7²

Step-2: Prime Factorization of 4718

Prime factors of 4718 are 2, 7, 337. Prime factorization of 4718 in exponential form is:

4718 = 2¹ × 7¹ × 337¹

Step-3: Factors of 4704

List of positive integer factors of 4704 that divides 4704 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352

Step-4: Factors of 4718

List of positive integer factors of 4718 that divides 4704 without a remainder.

1, 2, 7, 14, 337, 674, 2359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4704 and 4718. The biggest common factor number is the GCF number.
So the greatest common factor 4704 and 4718 is 14.

Also check out the Least Common Multiple of 4704 and 4718