What is the Greatest Common Factor of 15105 and 15123?

Greatest common factor (GCF) of 15105 and 15123 is 3.

GCF(15105,15123) = 3

We will now calculate the prime factors of 15105 and 15123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15105 and 15123.

How to find the GCF of 15105 and 15123?

We will first find the prime factorization of 15105 and 15123. After we will calculate the factors of 15105 and 15123 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 15123

Prime factors of 15123 are 3, 71. Prime factorization of 15123 in exponential form is:

15123 = 3¹ × 71²

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 15123

List of positive integer factors of 15123 that divides 15105 without a remainder.

1, 3, 71, 213, 5041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15105 and 15123. The biggest common factor number is the GCF number.
So the greatest common factor 15105 and 15123 is 3.

Also check out the Least Common Multiple of 15105 and 15123