What is the Greatest Common Factor of 67386 and 67397?

Greatest common factor (GCF) of 67386 and 67397 is 11.

GCF(67386,67397) = 11

We will now calculate the prime factors of 67386 and 67397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67386 and 67397.

How to find the GCF of 67386 and 67397?

We will first find the prime factorization of 67386 and 67397. After we will calculate the factors of 67386 and 67397 and find the biggest common factor number .

Step-1: Prime Factorization of 67386

Prime factors of 67386 are 2, 3, 11, 1021. Prime factorization of 67386 in exponential form is:

67386 = 2¹ × 3¹ × 11¹ × 1021¹

Step-2: Prime Factorization of 67397

Prime factors of 67397 are 11, 557. Prime factorization of 67397 in exponential form is:

67397 = 11² × 557¹

Step-3: Factors of 67386

List of positive integer factors of 67386 that divides 67386 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1021, 2042, 3063, 6126, 11231, 22462, 33693

Step-4: Factors of 67397

List of positive integer factors of 67397 that divides 67386 without a remainder.

1, 11, 121, 557, 6127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67386 and 67397. The biggest common factor number is the GCF number.
So the greatest common factor 67386 and 67397 is 11.

Also check out the Least Common Multiple of 67386 and 67397