What is the Greatest Common Factor of 66367 and 66386?

Greatest common factor (GCF) of 66367 and 66386 is 19.

GCF(66367,66386) = 19

We will now calculate the prime factors of 66367 and 66386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66367 and 66386.

How to find the GCF of 66367 and 66386?

We will first find the prime factorization of 66367 and 66386. After we will calculate the factors of 66367 and 66386 and find the biggest common factor number .

Step-1: Prime Factorization of 66367

Prime factors of 66367 are 7, 19, 499. Prime factorization of 66367 in exponential form is:

66367 = 7¹ × 19¹ × 499¹

Step-2: Prime Factorization of 66386

Prime factors of 66386 are 2, 19, 1747. Prime factorization of 66386 in exponential form is:

66386 = 2¹ × 19¹ × 1747¹

Step-3: Factors of 66367

List of positive integer factors of 66367 that divides 66367 without a remainder.

1, 7, 19, 133, 499, 3493, 9481

Step-4: Factors of 66386

List of positive integer factors of 66386 that divides 66367 without a remainder.

1, 2, 19, 38, 1747, 3494, 33193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66367 and 66386. The biggest common factor number is the GCF number.
So the greatest common factor 66367 and 66386 is 19.

Also check out the Least Common Multiple of 66367 and 66386