What is the Greatest Common Factor of 91700 and 91709?

Greatest common factor (GCF) of 91700 and 91709 is 1.

GCF(91700,91709) = 1

We will now calculate the prime factors of 91700 and 91709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91700 and 91709.

How to find the GCF of 91700 and 91709?

We will first find the prime factorization of 91700 and 91709. After we will calculate the factors of 91700 and 91709 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 91709

Prime factors of 91709 are 293, 313. Prime factorization of 91709 in exponential form is:

91709 = 293¹ × 313¹

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 91709

List of positive integer factors of 91709 that divides 91700 without a remainder.

1, 293, 313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91700 and 91709. The biggest common factor number is the GCF number.
So the greatest common factor 91700 and 91709 is 1.

Also check out the Least Common Multiple of 91700 and 91709