What is the Greatest Common Factor of 10115 and 10122?

Greatest common factor (GCF) of 10115 and 10122 is 7.

GCF(10115,10122) = 7

We will now calculate the prime factors of 10115 and 10122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10115 and 10122.

How to find the GCF of 10115 and 10122?

We will first find the prime factorization of 10115 and 10122. After we will calculate the factors of 10115 and 10122 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10122

Prime factors of 10122 are 2, 3, 7, 241. Prime factorization of 10122 in exponential form is:

10122 = 2¹ × 3¹ × 7¹ × 241¹

Step-3: Factors of 10115

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

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

Step-4: Factors of 10122

List of positive integer factors of 10122 that divides 10115 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 241, 482, 723, 1446, 1687, 3374, 5061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10115 and 10122. The biggest common factor number is the GCF number.
So the greatest common factor 10115 and 10122 is 7.

Also check out the Least Common Multiple of 10115 and 10122