What is the Greatest Common Factor of 91689 and 91700?

Greatest common factor (GCF) of 91689 and 91700 is 1.

GCF(91689,91700) = 1

We will now calculate the prime factors of 91689 and 91700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91689 and 91700.

How to find the GCF of 91689 and 91700?

We will first find the prime factorization of 91689 and 91700. After we will calculate the factors of 91689 and 91700 and find the biggest common factor number .

Step-1: Prime Factorization of 91689

Prime factors of 91689 are 3, 13, 2351. Prime factorization of 91689 in exponential form is:

91689 = 3¹ × 13¹ × 2351¹

Step-2: 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-3: Factors of 91689

List of positive integer factors of 91689 that divides 91689 without a remainder.

1, 3, 13, 39, 2351, 7053, 30563

Step-4: Factors of 91700

List of positive integer factors of 91700 that divides 91689 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91689 and 91700. The biggest common factor number is the GCF number.
So the greatest common factor 91689 and 91700 is 1.

Also check out the Least Common Multiple of 91689 and 91700