What is the Greatest Common Factor of 98198 and 98202?

Greatest common factor (GCF) of 98198 and 98202 is 2.

GCF(98198,98202) = 2

We will now calculate the prime factors of 98198 and 98202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98198 and 98202.

How to find the GCF of 98198 and 98202?

We will first find the prime factorization of 98198 and 98202. After we will calculate the factors of 98198 and 98202 and find the biggest common factor number .

Step-1: Prime Factorization of 98198

Prime factors of 98198 are 2, 37, 1327. Prime factorization of 98198 in exponential form is:

98198 = 2¹ × 37¹ × 1327¹

Step-2: Prime Factorization of 98202

Prime factors of 98202 are 2, 3, 13, 1259. Prime factorization of 98202 in exponential form is:

98202 = 2¹ × 3¹ × 13¹ × 1259¹

Step-3: Factors of 98198

List of positive integer factors of 98198 that divides 98198 without a remainder.

1, 2, 37, 74, 1327, 2654, 49099

Step-4: Factors of 98202

List of positive integer factors of 98202 that divides 98198 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1259, 2518, 3777, 7554, 16367, 32734, 49101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98198 and 98202. The biggest common factor number is the GCF number.
So the greatest common factor 98198 and 98202 is 2.

Also check out the Least Common Multiple of 98198 and 98202