What is the Greatest Common Factor of 84491 and 84508?

Greatest common factor (GCF) of 84491 and 84508 is 1.

GCF(84491,84508) = 1

We will now calculate the prime factors of 84491 and 84508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84491 and 84508.

How to find the GCF of 84491 and 84508?

We will first find the prime factorization of 84491 and 84508. After we will calculate the factors of 84491 and 84508 and find the biggest common factor number .

Step-1: Prime Factorization of 84491

Prime factors of 84491 are 11, 7681. Prime factorization of 84491 in exponential form is:

84491 = 11¹ × 7681¹

Step-2: Prime Factorization of 84508

Prime factors of 84508 are 2, 37, 571. Prime factorization of 84508 in exponential form is:

84508 = 2² × 37¹ × 571¹

Step-3: Factors of 84491

List of positive integer factors of 84491 that divides 84491 without a remainder.

1, 11, 7681

Step-4: Factors of 84508

List of positive integer factors of 84508 that divides 84491 without a remainder.

1, 2, 4, 37, 74, 148, 571, 1142, 2284, 21127, 42254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84491 and 84508. The biggest common factor number is the GCF number.
So the greatest common factor 84491 and 84508 is 1.

Also check out the Least Common Multiple of 84491 and 84508