What is the Greatest Common Factor of 47304 and 47314?

Greatest common factor (GCF) of 47304 and 47314 is 2.

GCF(47304,47314) = 2

We will now calculate the prime factors of 47304 and 47314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47304 and 47314.

How to find the GCF of 47304 and 47314?

We will first find the prime factorization of 47304 and 47314. After we will calculate the factors of 47304 and 47314 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 47314

Prime factors of 47314 are 2, 41, 577. Prime factorization of 47314 in exponential form is:

47314 = 2¹ × 41¹ × 577¹

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 47314

List of positive integer factors of 47314 that divides 47304 without a remainder.

1, 2, 41, 82, 577, 1154, 23657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47304 and 47314. The biggest common factor number is the GCF number.
So the greatest common factor 47304 and 47314 is 2.

Also check out the Least Common Multiple of 47304 and 47314