What is the Greatest Common Factor of 16105 and 16120?

Greatest common factor (GCF) of 16105 and 16120 is 5.

GCF(16105,16120) = 5

We will now calculate the prime factors of 16105 and 16120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16105 and 16120.

How to find the GCF of 16105 and 16120?

We will first find the prime factorization of 16105 and 16120. After we will calculate the factors of 16105 and 16120 and find the biggest common factor number .

Step-1: Prime Factorization of 16105

Prime factors of 16105 are 5, 3221. Prime factorization of 16105 in exponential form is:

16105 = 5¹ × 3221¹

Step-2: Prime Factorization of 16120

Prime factors of 16120 are 2, 5, 13, 31. Prime factorization of 16120 in exponential form is:

16120 = 2³ × 5¹ × 13¹ × 31¹

Step-3: Factors of 16105

List of positive integer factors of 16105 that divides 16105 without a remainder.

1, 5, 3221

Step-4: Factors of 16120

List of positive integer factors of 16120 that divides 16105 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 31, 40, 52, 62, 65, 104, 124, 130, 155, 248, 260, 310, 403, 520, 620, 806, 1240, 1612, 2015, 3224, 4030, 8060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16105 and 16120. The biggest common factor number is the GCF number.
So the greatest common factor 16105 and 16120 is 5.

Also check out the Least Common Multiple of 16105 and 16120