What is the Greatest Common Factor of 20352 and 20364?

Greatest common factor (GCF) of 20352 and 20364 is 12.

GCF(20352,20364) = 12

We will now calculate the prime factors of 20352 and 20364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20352 and 20364.

How to find the GCF of 20352 and 20364?

We will first find the prime factorization of 20352 and 20364. After we will calculate the factors of 20352 and 20364 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20364

Prime factors of 20364 are 2, 3, 1697. Prime factorization of 20364 in exponential form is:

20364 = 2² × 3¹ × 1697¹

Step-3: Factors of 20352

List of positive integer factors of 20352 that divides 20352 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

Step-4: Factors of 20364

List of positive integer factors of 20364 that divides 20352 without a remainder.

1, 2, 3, 4, 6, 12, 1697, 3394, 5091, 6788, 10182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20352 and 20364. The biggest common factor number is the GCF number.
So the greatest common factor 20352 and 20364 is 12.

Also check out the Least Common Multiple of 20352 and 20364