What is the Greatest Common Factor of 40780 and 40785?

Greatest common factor (GCF) of 40780 and 40785 is 5.

GCF(40780,40785) = 5

We will now calculate the prime factors of 40780 and 40785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40780 and 40785.

How to find the GCF of 40780 and 40785?

We will first find the prime factorization of 40780 and 40785. After we will calculate the factors of 40780 and 40785 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 40785

Prime factors of 40785 are 3, 5, 2719. Prime factorization of 40785 in exponential form is:

40785 = 3¹ × 5¹ × 2719¹

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 40785

List of positive integer factors of 40785 that divides 40780 without a remainder.

1, 3, 5, 15, 2719, 8157, 13595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40780 and 40785. The biggest common factor number is the GCF number.
So the greatest common factor 40780 and 40785 is 5.

Also check out the Least Common Multiple of 40780 and 40785