What is the Greatest Common Factor of 98513 and 98524?

Greatest common factor (GCF) of 98513 and 98524 is 1.

GCF(98513,98524) = 1

We will now calculate the prime factors of 98513 and 98524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98513 and 98524.

How to find the GCF of 98513 and 98524?

We will first find the prime factorization of 98513 and 98524. After we will calculate the factors of 98513 and 98524 and find the biggest common factor number .

Step-1: Prime Factorization of 98513

Prime factors of 98513 are 29, 43, 79. Prime factorization of 98513 in exponential form is:

98513 = 29¹ × 43¹ × 79¹

Step-2: Prime Factorization of 98524

Prime factors of 98524 are 2, 24631. Prime factorization of 98524 in exponential form is:

98524 = 2² × 24631¹

Step-3: Factors of 98513

List of positive integer factors of 98513 that divides 98513 without a remainder.

1, 29, 43, 79, 1247, 2291, 3397

Step-4: Factors of 98524

List of positive integer factors of 98524 that divides 98513 without a remainder.

1, 2, 4, 24631, 49262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98513 and 98524. The biggest common factor number is the GCF number.
So the greatest common factor 98513 and 98524 is 1.

Also check out the Least Common Multiple of 98513 and 98524