What is the Greatest Common Factor of 20352 and 20368?

Greatest common factor (GCF) of 20352 and 20368 is 16.

GCF(20352,20368) = 16

We will now calculate the prime factors of 20352 and 20368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20352 and 20368.

How to find the GCF of 20352 and 20368?

We will first find the prime factorization of 20352 and 20368. After we will calculate the factors of 20352 and 20368 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 20368

Prime factors of 20368 are 2, 19, 67. Prime factorization of 20368 in exponential form is:

20368 = 2⁴ × 19¹ × 67¹

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 20368

List of positive integer factors of 20368 that divides 20352 without a remainder.

1, 2, 4, 8, 16, 19, 38, 67, 76, 134, 152, 268, 304, 536, 1072, 1273, 2546, 5092, 10184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20352 and 20368. The biggest common factor number is the GCF number.
So the greatest common factor 20352 and 20368 is 16.

Also check out the Least Common Multiple of 20352 and 20368