What is the Greatest Common Factor of 98292 and 98302?

Greatest common factor (GCF) of 98292 and 98302 is 2.

GCF(98292,98302) = 2

We will now calculate the prime factors of 98292 and 98302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98292 and 98302.

How to find the GCF of 98292 and 98302?

We will first find the prime factorization of 98292 and 98302. After we will calculate the factors of 98292 and 98302 and find the biggest common factor number .

Step-1: Prime Factorization of 98292

Prime factors of 98292 are 2, 3, 8191. Prime factorization of 98292 in exponential form is:

98292 = 2² × 3¹ × 8191¹

Step-2: Prime Factorization of 98302

Prime factors of 98302 are 2, 23, 2137. Prime factorization of 98302 in exponential form is:

98302 = 2¹ × 23¹ × 2137¹

Step-3: Factors of 98292

List of positive integer factors of 98292 that divides 98292 without a remainder.

1, 2, 3, 4, 6, 12, 8191, 16382, 24573, 32764, 49146

Step-4: Factors of 98302

List of positive integer factors of 98302 that divides 98292 without a remainder.

1, 2, 23, 46, 2137, 4274, 49151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98292 and 98302. The biggest common factor number is the GCF number.
So the greatest common factor 98292 and 98302 is 2.

Also check out the Least Common Multiple of 98292 and 98302