What is the Greatest Common Factor of 10165 and 10184?

Greatest common factor (GCF) of 10165 and 10184 is 19.

GCF(10165,10184) = 19

We will now calculate the prime factors of 10165 and 10184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10165 and 10184.

How to find the GCF of 10165 and 10184?

We will first find the prime factorization of 10165 and 10184. After we will calculate the factors of 10165 and 10184 and find the biggest common factor number .

Step-1: Prime Factorization of 10165

Prime factors of 10165 are 5, 19, 107. Prime factorization of 10165 in exponential form is:

10165 = 5¹ × 19¹ × 107¹

Step-2: Prime Factorization of 10184

Prime factors of 10184 are 2, 19, 67. Prime factorization of 10184 in exponential form is:

10184 = 2³ × 19¹ × 67¹

Step-3: Factors of 10165

List of positive integer factors of 10165 that divides 10165 without a remainder.

1, 5, 19, 95, 107, 535, 2033

Step-4: Factors of 10184

List of positive integer factors of 10184 that divides 10165 without a remainder.

1, 2, 4, 8, 19, 38, 67, 76, 134, 152, 268, 536, 1273, 2546, 5092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10165 and 10184. The biggest common factor number is the GCF number.
So the greatest common factor 10165 and 10184 is 19.

Also check out the Least Common Multiple of 10165 and 10184