What is the Greatest Common Factor of 66635 and 66640?

Greatest common factor (GCF) of 66635 and 66640 is 5.

GCF(66635,66640) = 5

We will now calculate the prime factors of 66635 and 66640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66635 and 66640.

How to find the GCF of 66635 and 66640?

We will first find the prime factorization of 66635 and 66640. After we will calculate the factors of 66635 and 66640 and find the biggest common factor number .

Step-1: Prime Factorization of 66635

Prime factors of 66635 are 5, 13327. Prime factorization of 66635 in exponential form is:

66635 = 5¹ × 13327¹

Step-2: Prime Factorization of 66640

Prime factors of 66640 are 2, 5, 7, 17. Prime factorization of 66640 in exponential form is:

66640 = 2⁴ × 5¹ × 7² × 17¹

Step-3: Factors of 66635

List of positive integer factors of 66635 that divides 66635 without a remainder.

1, 5, 13327

Step-4: Factors of 66640

List of positive integer factors of 66640 that divides 66635 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 49, 56, 68, 70, 80, 85, 98, 112, 119, 136, 140, 170, 196, 238, 245, 272, 280, 340, 392, 476, 490, 560, 595, 680, 784, 833, 952, 980, 1190, 1360, 1666, 1904, 1960, 2380, 3332, 3920, 4165, 4760, 6664, 8330, 9520, 13328, 16660, 33320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66635 and 66640. The biggest common factor number is the GCF number.
So the greatest common factor 66635 and 66640 is 5.

Also check out the Least Common Multiple of 66635 and 66640