What is the Greatest Common Factor of 98588 and 98595?

Greatest common factor (GCF) of 98588 and 98595 is 7.

GCF(98588,98595) = 7

We will now calculate the prime factors of 98588 and 98595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98588 and 98595.

How to find the GCF of 98588 and 98595?

We will first find the prime factorization of 98588 and 98595. After we will calculate the factors of 98588 and 98595 and find the biggest common factor number .

Step-1: Prime Factorization of 98588

Prime factors of 98588 are 2, 7, 503. Prime factorization of 98588 in exponential form is:

98588 = 2² × 7² × 503¹

Step-2: Prime Factorization of 98595

Prime factors of 98595 are 3, 5, 7, 313. Prime factorization of 98595 in exponential form is:

98595 = 3² × 5¹ × 7¹ × 313¹

Step-3: Factors of 98588

List of positive integer factors of 98588 that divides 98588 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 503, 1006, 2012, 3521, 7042, 14084, 24647, 49294

Step-4: Factors of 98595

List of positive integer factors of 98595 that divides 98588 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 313, 315, 939, 1565, 2191, 2817, 4695, 6573, 10955, 14085, 19719, 32865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98588 and 98595. The biggest common factor number is the GCF number.
So the greatest common factor 98588 and 98595 is 7.

Also check out the Least Common Multiple of 98588 and 98595