What is the Greatest Common Factor of 10172 and 10182?

Greatest common factor (GCF) of 10172 and 10182 is 2.

GCF(10172,10182) = 2

We will now calculate the prime factors of 10172 and 10182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10172 and 10182.

How to find the GCF of 10172 and 10182?

We will first find the prime factorization of 10172 and 10182. After we will calculate the factors of 10172 and 10182 and find the biggest common factor number .

Step-1: Prime Factorization of 10172

Prime factors of 10172 are 2, 2543. Prime factorization of 10172 in exponential form is:

10172 = 2² × 2543¹

Step-2: Prime Factorization of 10182

Prime factors of 10182 are 2, 3, 1697. Prime factorization of 10182 in exponential form is:

10182 = 2¹ × 3¹ × 1697¹

Step-3: Factors of 10172

List of positive integer factors of 10172 that divides 10172 without a remainder.

1, 2, 4, 2543, 5086

Step-4: Factors of 10182

List of positive integer factors of 10182 that divides 10172 without a remainder.

1, 2, 3, 6, 1697, 3394, 5091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10172 and 10182. The biggest common factor number is the GCF number.
So the greatest common factor 10172 and 10182 is 2.

Also check out the Least Common Multiple of 10172 and 10182