What is the Greatest Common Factor of 40680 and 40690?

Greatest common factor (GCF) of 40680 and 40690 is 10.

GCF(40680,40690) = 10

We will now calculate the prime factors of 40680 and 40690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40680 and 40690.

How to find the GCF of 40680 and 40690?

We will first find the prime factorization of 40680 and 40690. After we will calculate the factors of 40680 and 40690 and find the biggest common factor number .

Step-1: Prime Factorization of 40680

Prime factors of 40680 are 2, 3, 5, 113. Prime factorization of 40680 in exponential form is:

40680 = 2³ × 3² × 5¹ × 113¹

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 40680

List of positive integer factors of 40680 that divides 40680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 113, 120, 180, 226, 339, 360, 452, 565, 678, 904, 1017, 1130, 1356, 1695, 2034, 2260, 2712, 3390, 4068, 4520, 5085, 6780, 8136, 10170, 13560, 20340

Step-4: Factors of 40690

List of positive integer factors of 40690 that divides 40680 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 40680 and 40690. The biggest common factor number is the GCF number.
So the greatest common factor 40680 and 40690 is 10.

Also check out the Least Common Multiple of 40680 and 40690