What is the Greatest Common Factor of 40613 and 40630?

Greatest common factor (GCF) of 40613 and 40630 is 17.

GCF(40613,40630) = 17

We will now calculate the prime factors of 40613 and 40630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40613 and 40630.

How to find the GCF of 40613 and 40630?

We will first find the prime factorization of 40613 and 40630. After we will calculate the factors of 40613 and 40630 and find the biggest common factor number .

Step-1: Prime Factorization of 40613

Prime factors of 40613 are 17, 2389. Prime factorization of 40613 in exponential form is:

40613 = 17¹ × 2389¹

Step-2: 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-3: Factors of 40613

List of positive integer factors of 40613 that divides 40613 without a remainder.

1, 17, 2389

Step-4: Factors of 40630

List of positive integer factors of 40630 that divides 40613 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40613 and 40630. The biggest common factor number is the GCF number.
So the greatest common factor 40613 and 40630 is 17.

Also check out the Least Common Multiple of 40613 and 40630