What is the Greatest Common Factor of 40780 and 40790?

Greatest common factor (GCF) of 40780 and 40790 is 10.

GCF(40780,40790) = 10

We will now calculate the prime factors of 40780 and 40790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40780 and 40790.

How to find the GCF of 40780 and 40790?

We will first find the prime factorization of 40780 and 40790. After we will calculate the factors of 40780 and 40790 and find the biggest common factor number .

Step-1: Prime Factorization of 40780

Prime factors of 40780 are 2, 5, 2039. Prime factorization of 40780 in exponential form is:

40780 = 2² × 5¹ × 2039¹

Step-2: Prime Factorization of 40790

Prime factors of 40790 are 2, 5, 4079. Prime factorization of 40790 in exponential form is:

40790 = 2¹ × 5¹ × 4079¹

Step-3: Factors of 40780

List of positive integer factors of 40780 that divides 40780 without a remainder.

1, 2, 4, 5, 10, 20, 2039, 4078, 8156, 10195, 20390

Step-4: Factors of 40790

List of positive integer factors of 40790 that divides 40780 without a remainder.

1, 2, 5, 10, 4079, 8158, 20395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40780 and 40790. The biggest common factor number is the GCF number.
So the greatest common factor 40780 and 40790 is 10.

Also check out the Least Common Multiple of 40780 and 40790