What is the Greatest Common Factor of 91700 and 91717?

Greatest common factor (GCF) of 91700 and 91717 is 1.

GCF(91700,91717) = 1

We will now calculate the prime factors of 91700 and 91717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91700 and 91717.

How to find the GCF of 91700 and 91717?

We will first find the prime factorization of 91700 and 91717. After we will calculate the factors of 91700 and 91717 and find the biggest common factor number .

Step-1: Prime Factorization of 91700

Prime factors of 91700 are 2, 5, 7, 131. Prime factorization of 91700 in exponential form is:

91700 = 2² × 5² × 7¹ × 131¹

Step-2: Prime Factorization of 91717

Prime factors of 91717 are 41, 2237. Prime factorization of 91717 in exponential form is:

91717 = 41¹ × 2237¹

Step-3: Factors of 91700

List of positive integer factors of 91700 that divides 91700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 131, 140, 175, 262, 350, 524, 655, 700, 917, 1310, 1834, 2620, 3275, 3668, 4585, 6550, 9170, 13100, 18340, 22925, 45850

Step-4: Factors of 91717

List of positive integer factors of 91717 that divides 91700 without a remainder.

1, 41, 2237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91700 and 91717. The biggest common factor number is the GCF number.
So the greatest common factor 91700 and 91717 is 1.

Also check out the Least Common Multiple of 91700 and 91717