What is the Greatest Common Factor of 40630 and 40640?

Greatest common factor (GCF) of 40630 and 40640 is 10.

GCF(40630,40640) = 10

We will now calculate the prime factors of 40630 and 40640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40630 and 40640.

How to find the GCF of 40630 and 40640?

We will first find the prime factorization of 40630 and 40640. After we will calculate the factors of 40630 and 40640 and find the biggest common factor number .

Step-1: Prime Factorization of 40630

Prime factors of 40630 are 2, 5, 17, 239. Prime factorization of 40630 in exponential form is:

40630 = 2¹ × 5¹ × 17¹ × 239¹

Step-2: Prime Factorization of 40640

Prime factors of 40640 are 2, 5, 127. Prime factorization of 40640 in exponential form is:

40640 = 2⁶ × 5¹ × 127¹

Step-3: Factors of 40630

List of positive integer factors of 40630 that divides 40630 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 239, 478, 1195, 2390, 4063, 8126, 20315

Step-4: Factors of 40640

List of positive integer factors of 40640 that divides 40630 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 127, 160, 254, 320, 508, 635, 1016, 1270, 2032, 2540, 4064, 5080, 8128, 10160, 20320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40630 and 40640. The biggest common factor number is the GCF number.
So the greatest common factor 40630 and 40640 is 10.

Also check out the Least Common Multiple of 40630 and 40640