What is the Greatest Common Factor of 91380 and 91386?

Greatest common factor (GCF) of 91380 and 91386 is 6.

GCF(91380,91386) = 6

We will now calculate the prime factors of 91380 and 91386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91380 and 91386.

How to find the GCF of 91380 and 91386?

We will first find the prime factorization of 91380 and 91386. After we will calculate the factors of 91380 and 91386 and find the biggest common factor number .

Step-1: Prime Factorization of 91380

Prime factors of 91380 are 2, 3, 5, 1523. Prime factorization of 91380 in exponential form is:

91380 = 2² × 3¹ × 5¹ × 1523¹

Step-2: Prime Factorization of 91386

Prime factors of 91386 are 2, 3, 5077. Prime factorization of 91386 in exponential form is:

91386 = 2¹ × 3² × 5077¹

Step-3: Factors of 91380

List of positive integer factors of 91380 that divides 91380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1523, 3046, 4569, 6092, 7615, 9138, 15230, 18276, 22845, 30460, 45690

Step-4: Factors of 91386

List of positive integer factors of 91386 that divides 91380 without a remainder.

1, 2, 3, 6, 9, 18, 5077, 10154, 15231, 30462, 45693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91380 and 91386. The biggest common factor number is the GCF number.
So the greatest common factor 91380 and 91386 is 6.

Also check out the Least Common Multiple of 91380 and 91386