What is the Greatest Common Factor of 47304 and 47312?

Greatest common factor (GCF) of 47304 and 47312 is 8.

GCF(47304,47312) = 8

We will now calculate the prime factors of 47304 and 47312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47304 and 47312.

How to find the GCF of 47304 and 47312?

We will first find the prime factorization of 47304 and 47312. After we will calculate the factors of 47304 and 47312 and find the biggest common factor number .

Step-1: Prime Factorization of 47304

Prime factors of 47304 are 2, 3, 73. Prime factorization of 47304 in exponential form is:

47304 = 2³ × 3⁴ × 73¹

Step-2: Prime Factorization of 47312

Prime factors of 47312 are 2, 2957. Prime factorization of 47312 in exponential form is:

47312 = 2⁴ × 2957¹

Step-3: Factors of 47304

List of positive integer factors of 47304 that divides 47304 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 73, 81, 108, 146, 162, 216, 219, 292, 324, 438, 584, 648, 657, 876, 1314, 1752, 1971, 2628, 3942, 5256, 5913, 7884, 11826, 15768, 23652

Step-4: Factors of 47312

List of positive integer factors of 47312 that divides 47304 without a remainder.

1, 2, 4, 8, 16, 2957, 5914, 11828, 23656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47304 and 47312. The biggest common factor number is the GCF number.
So the greatest common factor 47304 and 47312 is 8.

Also check out the Least Common Multiple of 47304 and 47312