What is the Greatest Common Factor of 40610 and 40630?

Greatest common factor (GCF) of 40610 and 40630 is 10.

GCF(40610,40630) = 10

We will now calculate the prime factors of 40610 and 40630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40610 and 40630.

How to find the GCF of 40610 and 40630?

We will first find the prime factorization of 40610 and 40630. After we will calculate the factors of 40610 and 40630 and find the biggest common factor number .

Step-1: Prime Factorization of 40610

Prime factors of 40610 are 2, 5, 31, 131. Prime factorization of 40610 in exponential form is:

40610 = 2¹ × 5¹ × 31¹ × 131¹

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 40610

List of positive integer factors of 40610 that divides 40610 without a remainder.

1, 2, 5, 10, 31, 62, 131, 155, 262, 310, 655, 1310, 4061, 8122, 20305

Step-4: Factors of 40630

List of positive integer factors of 40630 that divides 40610 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 40610 and 40630. The biggest common factor number is the GCF number.
So the greatest common factor 40610 and 40630 is 10.

Also check out the Least Common Multiple of 40610 and 40630