What is the Greatest Common Factor of 40635 and 40645?

Greatest common factor (GCF) of 40635 and 40645 is 5.

GCF(40635,40645) = 5

We will now calculate the prime factors of 40635 and 40645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40635 and 40645.

How to find the GCF of 40635 and 40645?

We will first find the prime factorization of 40635 and 40645. After we will calculate the factors of 40635 and 40645 and find the biggest common factor number .

Step-1: Prime Factorization of 40635

Prime factors of 40635 are 3, 5, 7, 43. Prime factorization of 40635 in exponential form is:

40635 = 3³ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 40645

Prime factors of 40645 are 5, 11, 739. Prime factorization of 40645 in exponential form is:

40645 = 5¹ × 11¹ × 739¹

Step-3: Factors of 40635

List of positive integer factors of 40635 that divides 40635 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 43, 45, 63, 105, 129, 135, 189, 215, 301, 315, 387, 645, 903, 945, 1161, 1505, 1935, 2709, 4515, 5805, 8127, 13545

Step-4: Factors of 40645

List of positive integer factors of 40645 that divides 40635 without a remainder.

1, 5, 11, 55, 739, 3695, 8129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40635 and 40645. The biggest common factor number is the GCF number.
So the greatest common factor 40635 and 40645 is 5.

Also check out the Least Common Multiple of 40635 and 40645