What is the Greatest Common Factor of 15288 and 15298?

Greatest common factor (GCF) of 15288 and 15298 is 2.

GCF(15288,15298) = 2

We will now calculate the prime factors of 15288 and 15298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15288 and 15298.

How to find the GCF of 15288 and 15298?

We will first find the prime factorization of 15288 and 15298. After we will calculate the factors of 15288 and 15298 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 15298

Prime factors of 15298 are 2, 7649. Prime factorization of 15298 in exponential form is:

15298 = 2¹ × 7649¹

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 15298

List of positive integer factors of 15298 that divides 15288 without a remainder.

1, 2, 7649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15288 and 15298. The biggest common factor number is the GCF number.
So the greatest common factor 15288 and 15298 is 2.

Also check out the Least Common Multiple of 15288 and 15298