What is the Greatest Common Factor of 22372 and 22389?

Greatest common factor (GCF) of 22372 and 22389 is 17.

GCF(22372,22389) = 17

We will now calculate the prime factors of 22372 and 22389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22372 and 22389.

How to find the GCF of 22372 and 22389?

We will first find the prime factorization of 22372 and 22389. After we will calculate the factors of 22372 and 22389 and find the biggest common factor number .

Step-1: Prime Factorization of 22372

Prime factors of 22372 are 2, 7, 17, 47. Prime factorization of 22372 in exponential form is:

22372 = 2² × 7¹ × 17¹ × 47¹

Step-2: Prime Factorization of 22389

Prime factors of 22389 are 3, 17, 439. Prime factorization of 22389 in exponential form is:

22389 = 3¹ × 17¹ × 439¹

Step-3: Factors of 22372

List of positive integer factors of 22372 that divides 22372 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 47, 68, 94, 119, 188, 238, 329, 476, 658, 799, 1316, 1598, 3196, 5593, 11186

Step-4: Factors of 22389

List of positive integer factors of 22389 that divides 22372 without a remainder.

1, 3, 17, 51, 439, 1317, 7463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22372 and 22389. The biggest common factor number is the GCF number.
So the greatest common factor 22372 and 22389 is 17.

Also check out the Least Common Multiple of 22372 and 22389