What is the Greatest Common Factor of 4704 and 4708?

Greatest common factor (GCF) of 4704 and 4708 is 4.

GCF(4704,4708) = 4

We will now calculate the prime factors of 4704 and 4708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4704 and 4708.

How to find the GCF of 4704 and 4708?

We will first find the prime factorization of 4704 and 4708. After we will calculate the factors of 4704 and 4708 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 4708

Prime factors of 4708 are 2, 11, 107. Prime factorization of 4708 in exponential form is:

4708 = 2² × 11¹ × 107¹

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 4708

List of positive integer factors of 4708 that divides 4704 without a remainder.

1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4704 and 4708. The biggest common factor number is the GCF number.
So the greatest common factor 4704 and 4708 is 4.

Also check out the Least Common Multiple of 4704 and 4708