What is the Greatest Common Factor of 91005 and 91020?

Greatest common factor (GCF) of 91005 and 91020 is 15.

GCF(91005,91020) = 15

We will now calculate the prime factors of 91005 and 91020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91005 and 91020.

How to find the GCF of 91005 and 91020?

We will first find the prime factorization of 91005 and 91020. After we will calculate the factors of 91005 and 91020 and find the biggest common factor number .

Step-1: Prime Factorization of 91005

Prime factors of 91005 are 3, 5, 6067. Prime factorization of 91005 in exponential form is:

91005 = 3¹ × 5¹ × 6067¹

Step-2: Prime Factorization of 91020

Prime factors of 91020 are 2, 3, 5, 37, 41. Prime factorization of 91020 in exponential form is:

91020 = 2² × 3¹ × 5¹ × 37¹ × 41¹

Step-3: Factors of 91005

List of positive integer factors of 91005 that divides 91005 without a remainder.

1, 3, 5, 15, 6067, 18201, 30335

Step-4: Factors of 91020

List of positive integer factors of 91020 that divides 91005 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 41, 60, 74, 82, 111, 123, 148, 164, 185, 205, 222, 246, 370, 410, 444, 492, 555, 615, 740, 820, 1110, 1230, 1517, 2220, 2460, 3034, 4551, 6068, 7585, 9102, 15170, 18204, 22755, 30340, 45510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91005 and 91020. The biggest common factor number is the GCF number.
So the greatest common factor 91005 and 91020 is 15.

Also check out the Least Common Multiple of 91005 and 91020