What is the Greatest Common Factor of 28464 and 28470?

Greatest common factor (GCF) of 28464 and 28470 is 6.

GCF(28464,28470) = 6

We will now calculate the prime factors of 28464 and 28470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28464 and 28470.

How to find the GCF of 28464 and 28470?

We will first find the prime factorization of 28464 and 28470. After we will calculate the factors of 28464 and 28470 and find the biggest common factor number .

Step-1: Prime Factorization of 28464

Prime factors of 28464 are 2, 3, 593. Prime factorization of 28464 in exponential form is:

28464 = 2⁴ × 3¹ × 593¹

Step-2: Prime Factorization of 28470

Prime factors of 28470 are 2, 3, 5, 13, 73. Prime factorization of 28470 in exponential form is:

28470 = 2¹ × 3¹ × 5¹ × 13¹ × 73¹

Step-3: Factors of 28464

List of positive integer factors of 28464 that divides 28464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 593, 1186, 1779, 2372, 3558, 4744, 7116, 9488, 14232

Step-4: Factors of 28470

List of positive integer factors of 28470 that divides 28464 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 73, 78, 130, 146, 195, 219, 365, 390, 438, 730, 949, 1095, 1898, 2190, 2847, 4745, 5694, 9490, 14235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28464 and 28470. The biggest common factor number is the GCF number.
So the greatest common factor 28464 and 28470 is 6.

Also check out the Least Common Multiple of 28464 and 28470