What is the Greatest Common Factor of 98588 and 98602?

Greatest common factor (GCF) of 98588 and 98602 is 14.

GCF(98588,98602) = 14

We will now calculate the prime factors of 98588 and 98602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98588 and 98602.

How to find the GCF of 98588 and 98602?

We will first find the prime factorization of 98588 and 98602. After we will calculate the factors of 98588 and 98602 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 98602

Prime factors of 98602 are 2, 7, 7043. Prime factorization of 98602 in exponential form is:

98602 = 2¹ × 7¹ × 7043¹

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 98602

List of positive integer factors of 98602 that divides 98588 without a remainder.

1, 2, 7, 14, 7043, 14086, 49301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98588 and 98602. The biggest common factor number is the GCF number.
So the greatest common factor 98588 and 98602 is 14.

Also check out the Least Common Multiple of 98588 and 98602