What is the Greatest Common Factor of 4704 and 4716?

Greatest common factor (GCF) of 4704 and 4716 is 12.

GCF(4704,4716) = 12

We will now calculate the prime factors of 4704 and 4716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4704 and 4716.

How to find the GCF of 4704 and 4716?

We will first find the prime factorization of 4704 and 4716. After we will calculate the factors of 4704 and 4716 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 4716

Prime factors of 4716 are 2, 3, 131. Prime factorization of 4716 in exponential form is:

4716 = 2² × 3² × 131¹

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 4716

List of positive integer factors of 4716 that divides 4704 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4704 and 4716. The biggest common factor number is the GCF number.
So the greatest common factor 4704 and 4716 is 12.

Also check out the Least Common Multiple of 4704 and 4716