What is the Greatest Common Factor of 15109 and 15120?

Greatest common factor (GCF) of 15109 and 15120 is 1.

GCF(15109,15120) = 1

We will now calculate the prime factors of 15109 and 15120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15109 and 15120.

How to find the GCF of 15109 and 15120?

We will first find the prime factorization of 15109 and 15120. After we will calculate the factors of 15109 and 15120 and find the biggest common factor number .

Step-1: Prime Factorization of 15109

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

15109 = 29¹ × 521¹

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 15109

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

1, 29, 521

Step-4: Factors of 15120

List of positive integer factors of 15120 that divides 15109 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 15109 and 15120. The biggest common factor number is the GCF number.
So the greatest common factor 15109 and 15120 is 1.

Also check out the Least Common Multiple of 15109 and 15120