What is the Greatest Common Factor of 40464 and 40470?

Greatest common factor (GCF) of 40464 and 40470 is 6.

GCF(40464,40470) = 6

We will now calculate the prime factors of 40464 and 40470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40464 and 40470.

How to find the GCF of 40464 and 40470?

We will first find the prime factorization of 40464 and 40470. After we will calculate the factors of 40464 and 40470 and find the biggest common factor number .

Step-1: Prime Factorization of 40464

Prime factors of 40464 are 2, 3, 281. Prime factorization of 40464 in exponential form is:

40464 = 2⁴ × 3² × 281¹

Step-2: Prime Factorization of 40470

Prime factors of 40470 are 2, 3, 5, 19, 71. Prime factorization of 40470 in exponential form is:

40470 = 2¹ × 3¹ × 5¹ × 19¹ × 71¹

Step-3: Factors of 40464

List of positive integer factors of 40464 that divides 40464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 281, 562, 843, 1124, 1686, 2248, 2529, 3372, 4496, 5058, 6744, 10116, 13488, 20232

Step-4: Factors of 40470

List of positive integer factors of 40470 that divides 40464 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 71, 95, 114, 142, 190, 213, 285, 355, 426, 570, 710, 1065, 1349, 2130, 2698, 4047, 6745, 8094, 13490, 20235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40464 and 40470. The biggest common factor number is the GCF number.
So the greatest common factor 40464 and 40470 is 6.

Also check out the Least Common Multiple of 40464 and 40470