What is the Greatest Common Factor of 15105 and 15116?

Greatest common factor (GCF) of 15105 and 15116 is 1.

GCF(15105,15116) = 1

We will now calculate the prime factors of 15105 and 15116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15105 and 15116.

How to find the GCF of 15105 and 15116?

We will first find the prime factorization of 15105 and 15116. After we will calculate the factors of 15105 and 15116 and find the biggest common factor number .

Step-1: Prime Factorization of 15105

Prime factors of 15105 are 3, 5, 19, 53. Prime factorization of 15105 in exponential form is:

15105 = 3¹ × 5¹ × 19¹ × 53¹

Step-2: Prime Factorization of 15116

Prime factors of 15116 are 2, 3779. Prime factorization of 15116 in exponential form is:

15116 = 2² × 3779¹

Step-3: Factors of 15105

List of positive integer factors of 15105 that divides 15105 without a remainder.

1, 3, 5, 15, 19, 53, 57, 95, 159, 265, 285, 795, 1007, 3021, 5035

Step-4: Factors of 15116

List of positive integer factors of 15116 that divides 15105 without a remainder.

1, 2, 4, 3779, 7558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15105 and 15116. The biggest common factor number is the GCF number.
So the greatest common factor 15105 and 15116 is 1.

Also check out the Least Common Multiple of 15105 and 15116