What is the Greatest Common Factor of 47304 and 47310?

Greatest common factor (GCF) of 47304 and 47310 is 6.

GCF(47304,47310) = 6

We will now calculate the prime factors of 47304 and 47310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47304 and 47310.

How to find the GCF of 47304 and 47310?

We will first find the prime factorization of 47304 and 47310. After we will calculate the factors of 47304 and 47310 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 47310

Prime factors of 47310 are 2, 3, 5, 19, 83. Prime factorization of 47310 in exponential form is:

47310 = 2¹ × 3¹ × 5¹ × 19¹ × 83¹

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 47310

List of positive integer factors of 47310 that divides 47304 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 83, 95, 114, 166, 190, 249, 285, 415, 498, 570, 830, 1245, 1577, 2490, 3154, 4731, 7885, 9462, 15770, 23655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47304 and 47310. The biggest common factor number is the GCF number.
So the greatest common factor 47304 and 47310 is 6.

Also check out the Least Common Multiple of 47304 and 47310