What is the Greatest Common Factor of 17376 and 17388?

Greatest common factor (GCF) of 17376 and 17388 is 12.

GCF(17376,17388) = 12

We will now calculate the prime factors of 17376 and 17388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17376 and 17388.

How to find the GCF of 17376 and 17388?

We will first find the prime factorization of 17376 and 17388. After we will calculate the factors of 17376 and 17388 and find the biggest common factor number .

Step-1: Prime Factorization of 17376

Prime factors of 17376 are 2, 3, 181. Prime factorization of 17376 in exponential form is:

17376 = 2⁵ × 3¹ × 181¹

Step-2: Prime Factorization of 17388

Prime factors of 17388 are 2, 3, 7, 23. Prime factorization of 17388 in exponential form is:

17388 = 2² × 3³ × 7¹ × 23¹

Step-3: Factors of 17376

List of positive integer factors of 17376 that divides 17376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 181, 362, 543, 724, 1086, 1448, 2172, 2896, 4344, 5792, 8688

Step-4: Factors of 17388

List of positive integer factors of 17388 that divides 17376 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 27, 28, 36, 42, 46, 54, 63, 69, 84, 92, 108, 126, 138, 161, 189, 207, 252, 276, 322, 378, 414, 483, 621, 644, 756, 828, 966, 1242, 1449, 1932, 2484, 2898, 4347, 5796, 8694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17376 and 17388. The biggest common factor number is the GCF number.
So the greatest common factor 17376 and 17388 is 12.

Also check out the Least Common Multiple of 17376 and 17388