What is the Greatest Common Factor of 47304 and 47318?

Greatest common factor (GCF) of 47304 and 47318 is 2.

GCF(47304,47318) = 2

We will now calculate the prime factors of 47304 and 47318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47304 and 47318.

How to find the GCF of 47304 and 47318?

We will first find the prime factorization of 47304 and 47318. After we will calculate the factors of 47304 and 47318 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 47318

Prime factors of 47318 are 2, 59, 401. Prime factorization of 47318 in exponential form is:

47318 = 2¹ × 59¹ × 401¹

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 47318

List of positive integer factors of 47318 that divides 47304 without a remainder.

1, 2, 59, 118, 401, 802, 23659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47304 and 47318. The biggest common factor number is the GCF number.
So the greatest common factor 47304 and 47318 is 2.

Also check out the Least Common Multiple of 47304 and 47318