What is the Greatest Common Factor of 67386 and 67406?

Greatest common factor (GCF) of 67386 and 67406 is 2.

GCF(67386,67406) = 2

We will now calculate the prime factors of 67386 and 67406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67386 and 67406.

How to find the GCF of 67386 and 67406?

We will first find the prime factorization of 67386 and 67406. After we will calculate the factors of 67386 and 67406 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 67406

Prime factors of 67406 are 2, 33703. Prime factorization of 67406 in exponential form is:

67406 = 2¹ × 33703¹

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 67406

List of positive integer factors of 67406 that divides 67386 without a remainder.

1, 2, 33703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67386 and 67406. The biggest common factor number is the GCF number.
So the greatest common factor 67386 and 67406 is 2.

Also check out the Least Common Multiple of 67386 and 67406