What is the Greatest Common Factor of 20352 and 20357?

Greatest common factor (GCF) of 20352 and 20357 is 1.

GCF(20352,20357) = 1

We will now calculate the prime factors of 20352 and 20357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20352 and 20357.

How to find the GCF of 20352 and 20357?

We will first find the prime factorization of 20352 and 20357. After we will calculate the factors of 20352 and 20357 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 20357

Prime factors of 20357 are 20357. Prime factorization of 20357 in exponential form is:

20357 = 20357¹

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 20357

List of positive integer factors of 20357 that divides 20352 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20352 and 20357. The biggest common factor number is the GCF number.
So the greatest common factor 20352 and 20357 is 1.

Also check out the Least Common Multiple of 20352 and 20357