What is the Greatest Common Factor of 10102 and 10115?

Greatest common factor (GCF) of 10102 and 10115 is 1.

GCF(10102,10115) = 1

We will now calculate the prime factors of 10102 and 10115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10102 and 10115.

How to find the GCF of 10102 and 10115?

We will first find the prime factorization of 10102 and 10115. After we will calculate the factors of 10102 and 10115 and find the biggest common factor number .

Step-1: Prime Factorization of 10102

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

10102 = 2¹ × 5051¹

Step-2: Prime Factorization of 10115

Prime factors of 10115 are 5, 7, 17. Prime factorization of 10115 in exponential form is:

10115 = 5¹ × 7¹ × 17²

Step-3: Factors of 10102

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

1, 2, 5051

Step-4: Factors of 10115

List of positive integer factors of 10115 that divides 10102 without a remainder.

1, 5, 7, 17, 35, 85, 119, 289, 595, 1445, 2023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10102 and 10115. The biggest common factor number is the GCF number.
So the greatest common factor 10102 and 10115 is 1.

Also check out the Least Common Multiple of 10102 and 10115