What is the Greatest Common Factor of 66620 and 66635?

Greatest common factor (GCF) of 66620 and 66635 is 5.

GCF(66620,66635) = 5

We will now calculate the prime factors of 66620 and 66635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66620 and 66635.

How to find the GCF of 66620 and 66635?

We will first find the prime factorization of 66620 and 66635. After we will calculate the factors of 66620 and 66635 and find the biggest common factor number .

Step-1: Prime Factorization of 66620

Prime factors of 66620 are 2, 5, 3331. Prime factorization of 66620 in exponential form is:

66620 = 2² × 5¹ × 3331¹

Step-2: Prime Factorization of 66635

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

66635 = 5¹ × 13327¹

Step-3: Factors of 66620

List of positive integer factors of 66620 that divides 66620 without a remainder.

1, 2, 4, 5, 10, 20, 3331, 6662, 13324, 16655, 33310

Step-4: Factors of 66635

List of positive integer factors of 66635 that divides 66620 without a remainder.

1, 5, 13327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66620 and 66635. The biggest common factor number is the GCF number.
So the greatest common factor 66620 and 66635 is 5.

Also check out the Least Common Multiple of 66620 and 66635