What is the Greatest Common Factor of 20336 and 20352?

Greatest common factor (GCF) of 20336 and 20352 is 16.

GCF(20336,20352) = 16

We will now calculate the prime factors of 20336 and 20352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20336 and 20352.

How to find the GCF of 20336 and 20352?

We will first find the prime factorization of 20336 and 20352. After we will calculate the factors of 20336 and 20352 and find the biggest common factor number .

Step-1: Prime Factorization of 20336

Prime factors of 20336 are 2, 31, 41. Prime factorization of 20336 in exponential form is:

20336 = 2⁴ × 31¹ × 41¹

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 20336

List of positive integer factors of 20336 that divides 20336 without a remainder.

1, 2, 4, 8, 16, 31, 41, 62, 82, 124, 164, 248, 328, 496, 656, 1271, 2542, 5084, 10168

Step-4: Factors of 20352

List of positive integer factors of 20352 that divides 20336 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 20336 and 20352. The biggest common factor number is the GCF number.
So the greatest common factor 20336 and 20352 is 16.

Also check out the Least Common Multiple of 20336 and 20352