What is the Greatest Common Factor of 91475 and 91489?

Greatest common factor (GCF) of 91475 and 91489 is 1.

GCF(91475,91489) = 1

We will now calculate the prime factors of 91475 and 91489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91475 and 91489.

How to find the GCF of 91475 and 91489?

We will first find the prime factorization of 91475 and 91489. After we will calculate the factors of 91475 and 91489 and find the biggest common factor number .

Step-1: Prime Factorization of 91475

Prime factors of 91475 are 5, 3659. Prime factorization of 91475 in exponential form is:

91475 = 5² × 3659¹

Step-2: Prime Factorization of 91489

Prime factors of 91489 are 191, 479. Prime factorization of 91489 in exponential form is:

91489 = 191¹ × 479¹

Step-3: Factors of 91475

List of positive integer factors of 91475 that divides 91475 without a remainder.

1, 5, 25, 3659, 18295

Step-4: Factors of 91489

List of positive integer factors of 91489 that divides 91475 without a remainder.

1, 191, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91475 and 91489. The biggest common factor number is the GCF number.
So the greatest common factor 91475 and 91489 is 1.

Also check out the Least Common Multiple of 91475 and 91489