What is the Greatest Common Factor of 40680 and 40689?

Greatest common factor (GCF) of 40680 and 40689 is 9.

GCF(40680,40689) = 9

We will now calculate the prime factors of 40680 and 40689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40680 and 40689.

How to find the GCF of 40680 and 40689?

We will first find the prime factorization of 40680 and 40689. After we will calculate the factors of 40680 and 40689 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 40689

Prime factors of 40689 are 3, 11, 137. Prime factorization of 40689 in exponential form is:

40689 = 3³ × 11¹ × 137¹

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 40689

List of positive integer factors of 40689 that divides 40680 without a remainder.

1, 3, 9, 11, 27, 33, 99, 137, 297, 411, 1233, 1507, 3699, 4521, 13563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40680 and 40689. The biggest common factor number is the GCF number.
So the greatest common factor 40680 and 40689 is 9.

Also check out the Least Common Multiple of 40680 and 40689