What is the Greatest Common Factor of 40685 and 40690?

Greatest common factor (GCF) of 40685 and 40690 is 5.

GCF(40685,40690) = 5

We will now calculate the prime factors of 40685 and 40690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40685 and 40690.

How to find the GCF of 40685 and 40690?

We will first find the prime factorization of 40685 and 40690. After we will calculate the factors of 40685 and 40690 and find the biggest common factor number .

Step-1: Prime Factorization of 40685

Prime factors of 40685 are 5, 79, 103. Prime factorization of 40685 in exponential form is:

40685 = 5¹ × 79¹ × 103¹

Step-2: Prime Factorization of 40690

Prime factors of 40690 are 2, 5, 13, 313. Prime factorization of 40690 in exponential form is:

40690 = 2¹ × 5¹ × 13¹ × 313¹

Step-3: Factors of 40685

List of positive integer factors of 40685 that divides 40685 without a remainder.

1, 5, 79, 103, 395, 515, 8137

Step-4: Factors of 40690

List of positive integer factors of 40690 that divides 40685 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 313, 626, 1565, 3130, 4069, 8138, 20345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40685 and 40690. The biggest common factor number is the GCF number.
So the greatest common factor 40685 and 40690 is 5.

Also check out the Least Common Multiple of 40685 and 40690