What is the Greatest Common Factor of 4704 and 4712?

Greatest common factor (GCF) of 4704 and 4712 is 8.

GCF(4704,4712) = 8

We will now calculate the prime factors of 4704 and 4712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4704 and 4712.

How to find the GCF of 4704 and 4712?

We will first find the prime factorization of 4704 and 4712. After we will calculate the factors of 4704 and 4712 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 4712

Prime factors of 4712 are 2, 19, 31. Prime factorization of 4712 in exponential form is:

4712 = 2³ × 19¹ × 31¹

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 4712

List of positive integer factors of 4712 that divides 4704 without a remainder.

1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4704 and 4712. The biggest common factor number is the GCF number.
So the greatest common factor 4704 and 4712 is 8.

Also check out the Least Common Multiple of 4704 and 4712