What is the Greatest Common Factor of 20328 and 20335?

Greatest common factor (GCF) of 20328 and 20335 is 7.

GCF(20328,20335) = 7

We will now calculate the prime factors of 20328 and 20335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20328 and 20335.

How to find the GCF of 20328 and 20335?

We will first find the prime factorization of 20328 and 20335. After we will calculate the factors of 20328 and 20335 and find the biggest common factor number .

Step-1: Prime Factorization of 20328

Prime factors of 20328 are 2, 3, 7, 11. Prime factorization of 20328 in exponential form is:

20328 = 2³ × 3¹ × 7¹ × 11²

Step-2: Prime Factorization of 20335

Prime factors of 20335 are 5, 7, 83. Prime factorization of 20335 in exponential form is:

20335 = 5¹ × 7² × 83¹

Step-3: Factors of 20328

List of positive integer factors of 20328 that divides 20328 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 33, 42, 44, 56, 66, 77, 84, 88, 121, 132, 154, 168, 231, 242, 264, 308, 363, 462, 484, 616, 726, 847, 924, 968, 1452, 1694, 1848, 2541, 2904, 3388, 5082, 6776, 10164

Step-4: Factors of 20335

List of positive integer factors of 20335 that divides 20328 without a remainder.

1, 5, 7, 35, 49, 83, 245, 415, 581, 2905, 4067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20328 and 20335. The biggest common factor number is the GCF number.
So the greatest common factor 20328 and 20335 is 7.

Also check out the Least Common Multiple of 20328 and 20335