What is the Greatest Common Factor of 98288 and 98299?

Greatest common factor (GCF) of 98288 and 98299 is 1.

GCF(98288,98299) = 1

We will now calculate the prime factors of 98288 and 98299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98288 and 98299.

How to find the GCF of 98288 and 98299?

We will first find the prime factorization of 98288 and 98299. After we will calculate the factors of 98288 and 98299 and find the biggest common factor number .

Step-1: Prime Factorization of 98288

Prime factors of 98288 are 2, 6143. Prime factorization of 98288 in exponential form is:

98288 = 2⁴ × 6143¹

Step-2: Prime Factorization of 98299

Prime factors of 98299 are 98299. Prime factorization of 98299 in exponential form is:

98299 = 98299¹

Step-3: Factors of 98288

List of positive integer factors of 98288 that divides 98288 without a remainder.

1, 2, 4, 8, 16, 6143, 12286, 24572, 49144

Step-4: Factors of 98299

List of positive integer factors of 98299 that divides 98288 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98288 and 98299. The biggest common factor number is the GCF number.
So the greatest common factor 98288 and 98299 is 1.

Also check out the Least Common Multiple of 98288 and 98299