What is the Greatest Common Factor of 12320 and 12330?

Greatest common factor (GCF) of 12320 and 12330 is 10.

GCF(12320,12330) = 10

We will now calculate the prime factors of 12320 and 12330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12320 and 12330.

How to find the GCF of 12320 and 12330?

We will first find the prime factorization of 12320 and 12330. After we will calculate the factors of 12320 and 12330 and find the biggest common factor number .

Step-1: Prime Factorization of 12320

Prime factors of 12320 are 2, 5, 7, 11. Prime factorization of 12320 in exponential form is:

12320 = 2⁵ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 12330

Prime factors of 12330 are 2, 3, 5, 137. Prime factorization of 12330 in exponential form is:

12330 = 2¹ × 3² × 5¹ × 137¹

Step-3: Factors of 12320

List of positive integer factors of 12320 that divides 12320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 32, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 160, 176, 220, 224, 280, 308, 352, 385, 440, 560, 616, 770, 880, 1120, 1232, 1540, 1760, 2464, 3080, 6160

Step-4: Factors of 12330

List of positive integer factors of 12330 that divides 12320 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 137, 274, 411, 685, 822, 1233, 1370, 2055, 2466, 4110, 6165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12320 and 12330. The biggest common factor number is the GCF number.
So the greatest common factor 12320 and 12330 is 10.

Also check out the Least Common Multiple of 12320 and 12330