What is the Greatest Common Factor of 67380 and 67386?

Greatest common factor (GCF) of 67380 and 67386 is 6.

GCF(67380,67386) = 6

We will now calculate the prime factors of 67380 and 67386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67380 and 67386.

How to find the GCF of 67380 and 67386?

We will first find the prime factorization of 67380 and 67386. After we will calculate the factors of 67380 and 67386 and find the biggest common factor number .

Step-1: Prime Factorization of 67380

Prime factors of 67380 are 2, 3, 5, 1123. Prime factorization of 67380 in exponential form is:

67380 = 2² × 3¹ × 5¹ × 1123¹

Step-2: 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-3: Factors of 67380

List of positive integer factors of 67380 that divides 67380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1123, 2246, 3369, 4492, 5615, 6738, 11230, 13476, 16845, 22460, 33690

Step-4: Factors of 67386

List of positive integer factors of 67386 that divides 67380 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67380 and 67386. The biggest common factor number is the GCF number.
So the greatest common factor 67380 and 67386 is 6.

Also check out the Least Common Multiple of 67380 and 67386