What is the Greatest Common Factor of 15274 and 15288?

Greatest common factor (GCF) of 15274 and 15288 is 14.

GCF(15274,15288) = 14

We will now calculate the prime factors of 15274 and 15288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15274 and 15288.

How to find the GCF of 15274 and 15288?

We will first find the prime factorization of 15274 and 15288. After we will calculate the factors of 15274 and 15288 and find the biggest common factor number .

Step-1: Prime Factorization of 15274

Prime factors of 15274 are 2, 7, 1091. Prime factorization of 15274 in exponential form is:

15274 = 2¹ × 7¹ × 1091¹

Step-2: 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-3: Factors of 15274

List of positive integer factors of 15274 that divides 15274 without a remainder.

1, 2, 7, 14, 1091, 2182, 7637

Step-4: Factors of 15288

List of positive integer factors of 15288 that divides 15274 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15274 and 15288. The biggest common factor number is the GCF number.
So the greatest common factor 15274 and 15288 is 14.

Also check out the Least Common Multiple of 15274 and 15288