What is the Greatest Common Factor of 20340 and 20352?

Greatest common factor (GCF) of 20340 and 20352 is 12.

GCF(20340,20352) = 12

We will now calculate the prime factors of 20340 and 20352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20340 and 20352.

How to find the GCF of 20340 and 20352?

We will first find the prime factorization of 20340 and 20352. After we will calculate the factors of 20340 and 20352 and find the biggest common factor number .

Step-1: Prime Factorization of 20340

Prime factors of 20340 are 2, 3, 5, 113. Prime factorization of 20340 in exponential form is:

20340 = 2² × 3² × 5¹ × 113¹

Step-2: Prime Factorization of 20352

Prime factors of 20352 are 2, 3, 53. Prime factorization of 20352 in exponential form is:

20352 = 2⁷ × 3¹ × 53¹

Step-3: Factors of 20340

List of positive integer factors of 20340 that divides 20340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 113, 180, 226, 339, 452, 565, 678, 1017, 1130, 1356, 1695, 2034, 2260, 3390, 4068, 5085, 6780, 10170

Step-4: Factors of 20352

List of positive integer factors of 20352 that divides 20340 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 128, 159, 192, 212, 318, 384, 424, 636, 848, 1272, 1696, 2544, 3392, 5088, 6784, 10176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20340 and 20352. The biggest common factor number is the GCF number.
So the greatest common factor 20340 and 20352 is 12.

Also check out the Least Common Multiple of 20340 and 20352