What is the Greatest Common Factor of 1635 and 1640?

Greatest common factor (GCF) of 1635 and 1640 is 5.

GCF(1635,1640) = 5

We will now calculate the prime factors of 1635 and 1640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1635 and 1640.

How to find the GCF of 1635 and 1640?

We will first find the prime factorization of 1635 and 1640. After we will calculate the factors of 1635 and 1640 and find the biggest common factor number .

Step-1: Prime Factorization of 1635

Prime factors of 1635 are 3, 5, 109. Prime factorization of 1635 in exponential form is:

1635 = 3¹ × 5¹ × 109¹

Step-2: Prime Factorization of 1640

Prime factors of 1640 are 2, 5, 41. Prime factorization of 1640 in exponential form is:

1640 = 2³ × 5¹ × 41¹

Step-3: Factors of 1635

List of positive integer factors of 1635 that divides 1635 without a remainder.

1, 3, 5, 15, 109, 327, 545

Step-4: Factors of 1640

List of positive integer factors of 1640 that divides 1635 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1635 and 1640. The biggest common factor number is the GCF number.
So the greatest common factor 1635 and 1640 is 5.

Also check out the Least Common Multiple of 1635 and 1640