What is the Greatest Common Factor of 19320 and 19332?

Greatest common factor (GCF) of 19320 and 19332 is 12.

GCF(19320,19332) = 12

We will now calculate the prime factors of 19320 and 19332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19320 and 19332.

How to find the GCF of 19320 and 19332?

We will first find the prime factorization of 19320 and 19332. After we will calculate the factors of 19320 and 19332 and find the biggest common factor number .

Step-1: Prime Factorization of 19320

Prime factors of 19320 are 2, 3, 5, 7, 23. Prime factorization of 19320 in exponential form is:

19320 = 2³ × 3¹ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 19332

Prime factors of 19332 are 2, 3, 179. Prime factorization of 19332 in exponential form is:

19332 = 2² × 3³ × 179¹

Step-3: Factors of 19320

List of positive integer factors of 19320 that divides 19320 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 23, 24, 28, 30, 35, 40, 42, 46, 56, 60, 69, 70, 84, 92, 105, 115, 120, 138, 140, 161, 168, 184, 210, 230, 276, 280, 322, 345, 420, 460, 483, 552, 644, 690, 805, 840, 920, 966, 1288, 1380, 1610, 1932, 2415, 2760, 3220, 3864, 4830, 6440, 9660

Step-4: Factors of 19332

List of positive integer factors of 19332 that divides 19320 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 4833, 6444, 9666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19320 and 19332. The biggest common factor number is the GCF number.
So the greatest common factor 19320 and 19332 is 12.

Also check out the Least Common Multiple of 19320 and 19332