What is the Greatest Common Factor of 91380 and 91400?

Greatest common factor (GCF) of 91380 and 91400 is 20.

GCF(91380,91400) = 20

We will now calculate the prime factors of 91380 and 91400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91380 and 91400.

How to find the GCF of 91380 and 91400?

We will first find the prime factorization of 91380 and 91400. After we will calculate the factors of 91380 and 91400 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 91400

Prime factors of 91400 are 2, 5, 457. Prime factorization of 91400 in exponential form is:

91400 = 2³ × 5² × 457¹

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 91400

List of positive integer factors of 91400 that divides 91380 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 457, 914, 1828, 2285, 3656, 4570, 9140, 11425, 18280, 22850, 45700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91380 and 91400. The biggest common factor number is the GCF number.
So the greatest common factor 91380 and 91400 is 20.

Also check out the Least Common Multiple of 91380 and 91400