What is the Greatest Common Factor of 3635 and 3640?

Greatest common factor (GCF) of 3635 and 3640 is 5.

GCF(3635,3640) = 5

We will now calculate the prime factors of 3635 and 3640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3635 and 3640.

How to find the GCF of 3635 and 3640?

We will first find the prime factorization of 3635 and 3640. After we will calculate the factors of 3635 and 3640 and find the biggest common factor number .

Step-1: Prime Factorization of 3635

Prime factors of 3635 are 5, 727. Prime factorization of 3635 in exponential form is:

3635 = 5¹ × 727¹

Step-2: Prime Factorization of 3640

Prime factors of 3640 are 2, 5, 7, 13. Prime factorization of 3640 in exponential form is:

3640 = 2³ × 5¹ × 7¹ × 13¹

Step-3: Factors of 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1, 5, 727

Step-4: Factors of 3640

List of positive integer factors of 3640 that divides 3635 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3635 and 3640. The biggest common factor number is the GCF number.
So the greatest common factor 3635 and 3640 is 5.

Also check out the Least Common Multiple of 3635 and 3640