What is the Greatest Common Factor of 17379 and 17388?

Greatest common factor (GCF) of 17379 and 17388 is 9.

GCF(17379,17388) = 9

We will now calculate the prime factors of 17379 and 17388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17379 and 17388.

How to find the GCF of 17379 and 17388?

We will first find the prime factorization of 17379 and 17388. After we will calculate the factors of 17379 and 17388 and find the biggest common factor number .

Step-1: Prime Factorization of 17379

Prime factors of 17379 are 3, 1931. Prime factorization of 17379 in exponential form is:

17379 = 3² × 1931¹

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 17379

List of positive integer factors of 17379 that divides 17379 without a remainder.

1, 3, 9, 1931, 5793

Step-4: Factors of 17388

List of positive integer factors of 17388 that divides 17379 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 17379 and 17388. The biggest common factor number is the GCF number.
So the greatest common factor 17379 and 17388 is 9.

Also check out the Least Common Multiple of 17379 and 17388