What is the Greatest Common Factor of 15105 and 15109?

Greatest common factor (GCF) of 15105 and 15109 is 1.

GCF(15105,15109) = 1

We will now calculate the prime factors of 15105 and 15109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15105 and 15109.

How to find the GCF of 15105 and 15109?

We will first find the prime factorization of 15105 and 15109. After we will calculate the factors of 15105 and 15109 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 15109

Prime factors of 15109 are 29, 521. Prime factorization of 15109 in exponential form is:

15109 = 29¹ × 521¹

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 15109

List of positive integer factors of 15109 that divides 15105 without a remainder.

1, 29, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15105 and 15109. The biggest common factor number is the GCF number.
So the greatest common factor 15105 and 15109 is 1.

Also check out the Least Common Multiple of 15105 and 15109