What is the Greatest Common Factor of 10195 and 10210?

Greatest common factor (GCF) of 10195 and 10210 is 5.

GCF(10195,10210) = 5

We will now calculate the prime factors of 10195 and 10210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10195 and 10210.

How to find the GCF of 10195 and 10210?

We will first find the prime factorization of 10195 and 10210. After we will calculate the factors of 10195 and 10210 and find the biggest common factor number .

Step-1: Prime Factorization of 10195

Prime factors of 10195 are 5, 2039. Prime factorization of 10195 in exponential form is:

10195 = 5¹ × 2039¹

Step-2: Prime Factorization of 10210

Prime factors of 10210 are 2, 5, 1021. Prime factorization of 10210 in exponential form is:

10210 = 2¹ × 5¹ × 1021¹

Step-3: Factors of 10195

List of positive integer factors of 10195 that divides 10195 without a remainder.

1, 5, 2039

Step-4: Factors of 10210

List of positive integer factors of 10210 that divides 10195 without a remainder.

1, 2, 5, 10, 1021, 2042, 5105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10195 and 10210. The biggest common factor number is the GCF number.
So the greatest common factor 10195 and 10210 is 5.

Also check out the Least Common Multiple of 10195 and 10210