What is the Greatest Common Factor of 10098 and 10102?

Greatest common factor (GCF) of 10098 and 10102 is 2.

GCF(10098,10102) = 2

We will now calculate the prime factors of 10098 and 10102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10098 and 10102.

How to find the GCF of 10098 and 10102?

We will first find the prime factorization of 10098 and 10102. After we will calculate the factors of 10098 and 10102 and find the biggest common factor number .

Step-1: Prime Factorization of 10098

Prime factors of 10098 are 2, 3, 11, 17. Prime factorization of 10098 in exponential form is:

10098 = 2¹ × 3³ × 11¹ × 17¹

Step-2: Prime Factorization of 10102

Prime factors of 10102 are 2, 5051. Prime factorization of 10102 in exponential form is:

10102 = 2¹ × 5051¹

Step-3: Factors of 10098

List of positive integer factors of 10098 that divides 10098 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 27, 33, 34, 51, 54, 66, 99, 102, 153, 187, 198, 297, 306, 374, 459, 561, 594, 918, 1122, 1683, 3366, 5049

Step-4: Factors of 10102

List of positive integer factors of 10102 that divides 10098 without a remainder.

1, 2, 5051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10098 and 10102. The biggest common factor number is the GCF number.
So the greatest common factor 10098 and 10102 is 2.

Also check out the Least Common Multiple of 10098 and 10102