What is the Greatest Common Factor of 40470 and 40480?

Greatest common factor (GCF) of 40470 and 40480 is 10.

GCF(40470,40480) = 10

We will now calculate the prime factors of 40470 and 40480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40470 and 40480.

How to find the GCF of 40470 and 40480?

We will first find the prime factorization of 40470 and 40480. After we will calculate the factors of 40470 and 40480 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40480

Prime factors of 40480 are 2, 5, 11, 23. Prime factorization of 40480 in exponential form is:

40480 = 2⁵ × 5¹ × 11¹ × 23¹

Step-3: Factors of 40470

List of positive integer factors of 40470 that divides 40470 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

Step-4: Factors of 40480

List of positive integer factors of 40480 that divides 40470 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 32, 40, 44, 46, 55, 80, 88, 92, 110, 115, 160, 176, 184, 220, 230, 253, 352, 368, 440, 460, 506, 736, 880, 920, 1012, 1265, 1760, 1840, 2024, 2530, 3680, 4048, 5060, 8096, 10120, 20240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40470 and 40480. The biggest common factor number is the GCF number.
So the greatest common factor 40470 and 40480 is 10.

Also check out the Least Common Multiple of 40470 and 40480