What is the Greatest Common Factor of 98102 and 98122?

Greatest common factor (GCF) of 98102 and 98122 is 2.

GCF(98102,98122) = 2

We will now calculate the prime factors of 98102 and 98122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98102 and 98122.

How to find the GCF of 98102 and 98122?

We will first find the prime factorization of 98102 and 98122. After we will calculate the factors of 98102 and 98122 and find the biggest common factor number .

Step-1: Prime Factorization of 98102

Prime factors of 98102 are 2, 181, 271. Prime factorization of 98102 in exponential form is:

98102 = 2¹ × 181¹ × 271¹

Step-2: Prime Factorization of 98122

Prime factors of 98122 are 2, 71, 691. Prime factorization of 98122 in exponential form is:

98122 = 2¹ × 71¹ × 691¹

Step-3: Factors of 98102

List of positive integer factors of 98102 that divides 98102 without a remainder.

1, 2, 181, 271, 362, 542, 49051

Step-4: Factors of 98122

List of positive integer factors of 98122 that divides 98102 without a remainder.

1, 2, 71, 142, 691, 1382, 49061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98102 and 98122. The biggest common factor number is the GCF number.
So the greatest common factor 98102 and 98122 is 2.

Also check out the Least Common Multiple of 98102 and 98122