What is the Greatest Common Factor of 15105 and 15120?

Greatest common factor (GCF) of 15105 and 15120 is 15.

GCF(15105,15120) = 15

We will now calculate the prime factors of 15105 and 15120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15105 and 15120.

How to find the GCF of 15105 and 15120?

We will first find the prime factorization of 15105 and 15120. After we will calculate the factors of 15105 and 15120 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 15120

Prime factors of 15120 are 2, 3, 5, 7. Prime factorization of 15120 in exponential form is:

15120 = 2⁴ × 3³ × 5¹ × 7¹

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 15120

List of positive integer factors of 15120 that divides 15105 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 70, 72, 80, 84, 90, 105, 108, 112, 120, 126, 135, 140, 144, 168, 180, 189, 210, 216, 240, 252, 270, 280, 315, 336, 360, 378, 420, 432, 504, 540, 560, 630, 720, 756, 840, 945, 1008, 1080, 1260, 1512, 1680, 1890, 2160, 2520, 3024, 3780, 5040, 7560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15105 and 15120. The biggest common factor number is the GCF number.
So the greatest common factor 15105 and 15120 is 15.

Also check out the Least Common Multiple of 15105 and 15120