What is the Greatest Common Factor of 66320 and 66338?

Greatest common factor (GCF) of 66320 and 66338 is 2.

GCF(66320,66338) = 2

We will now calculate the prime factors of 66320 and 66338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66320 and 66338.

How to find the GCF of 66320 and 66338?

We will first find the prime factorization of 66320 and 66338. After we will calculate the factors of 66320 and 66338 and find the biggest common factor number .

Step-1: Prime Factorization of 66320

Prime factors of 66320 are 2, 5, 829. Prime factorization of 66320 in exponential form is:

66320 = 2⁴ × 5¹ × 829¹

Step-2: Prime Factorization of 66338

Prime factors of 66338 are 2, 41, 809. Prime factorization of 66338 in exponential form is:

66338 = 2¹ × 41¹ × 809¹

Step-3: Factors of 66320

List of positive integer factors of 66320 that divides 66320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 829, 1658, 3316, 4145, 6632, 8290, 13264, 16580, 33160

Step-4: Factors of 66338

List of positive integer factors of 66338 that divides 66320 without a remainder.

1, 2, 41, 82, 809, 1618, 33169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66320 and 66338. The biggest common factor number is the GCF number.
So the greatest common factor 66320 and 66338 is 2.

Also check out the Least Common Multiple of 66320 and 66338