What is the Greatest Common Factor of 66409 and 66416?

Greatest common factor (GCF) of 66409 and 66416 is 7.

GCF(66409,66416) = 7

We will now calculate the prime factors of 66409 and 66416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66409 and 66416.

How to find the GCF of 66409 and 66416?

We will first find the prime factorization of 66409 and 66416. After we will calculate the factors of 66409 and 66416 and find the biggest common factor number .

Step-1: Prime Factorization of 66409

Prime factors of 66409 are 7, 53, 179. Prime factorization of 66409 in exponential form is:

66409 = 7¹ × 53¹ × 179¹

Step-2: Prime Factorization of 66416

Prime factors of 66416 are 2, 7, 593. Prime factorization of 66416 in exponential form is:

66416 = 2⁴ × 7¹ × 593¹

Step-3: Factors of 66409

List of positive integer factors of 66409 that divides 66409 without a remainder.

1, 7, 53, 179, 371, 1253, 9487

Step-4: Factors of 66416

List of positive integer factors of 66416 that divides 66409 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 593, 1186, 2372, 4151, 4744, 8302, 9488, 16604, 33208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66409 and 66416. The biggest common factor number is the GCF number.
So the greatest common factor 66409 and 66416 is 7.

Also check out the Least Common Multiple of 66409 and 66416