What is the Greatest Common Factor of 15288 and 15301?

Greatest common factor (GCF) of 15288 and 15301 is 13.

GCF(15288,15301) = 13

We will now calculate the prime factors of 15288 and 15301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15288 and 15301.

How to find the GCF of 15288 and 15301?

We will first find the prime factorization of 15288 and 15301. After we will calculate the factors of 15288 and 15301 and find the biggest common factor number .

Step-1: Prime Factorization of 15288

Prime factors of 15288 are 2, 3, 7, 13. Prime factorization of 15288 in exponential form is:

15288 = 2³ × 3¹ × 7² × 13¹

Step-2: Prime Factorization of 15301

Prime factors of 15301 are 11, 13, 107. Prime factorization of 15301 in exponential form is:

15301 = 11¹ × 13¹ × 107¹

Step-3: Factors of 15288

List of positive integer factors of 15288 that divides 15288 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 49, 52, 56, 78, 84, 91, 98, 104, 147, 156, 168, 182, 196, 273, 294, 312, 364, 392, 546, 588, 637, 728, 1092, 1176, 1274, 1911, 2184, 2548, 3822, 5096, 7644

Step-4: Factors of 15301

List of positive integer factors of 15301 that divides 15288 without a remainder.

1, 11, 13, 107, 143, 1177, 1391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15288 and 15301. The biggest common factor number is the GCF number.
So the greatest common factor 15288 and 15301 is 13.

Also check out the Least Common Multiple of 15288 and 15301