What is the Greatest Common Factor of 20355 and 20361?

Greatest common factor (GCF) of 20355 and 20361 is 3.

GCF(20355,20361) = 3

We will now calculate the prime factors of 20355 and 20361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20355 and 20361.

How to find the GCF of 20355 and 20361?

We will first find the prime factorization of 20355 and 20361. After we will calculate the factors of 20355 and 20361 and find the biggest common factor number .

Step-1: Prime Factorization of 20355

Prime factors of 20355 are 3, 5, 23, 59. Prime factorization of 20355 in exponential form is:

20355 = 3¹ × 5¹ × 23¹ × 59¹

Step-2: Prime Factorization of 20361

Prime factors of 20361 are 3, 11, 617. Prime factorization of 20361 in exponential form is:

20361 = 3¹ × 11¹ × 617¹

Step-3: Factors of 20355

List of positive integer factors of 20355 that divides 20355 without a remainder.

1, 3, 5, 15, 23, 59, 69, 115, 177, 295, 345, 885, 1357, 4071, 6785

Step-4: Factors of 20361

List of positive integer factors of 20361 that divides 20355 without a remainder.

1, 3, 11, 33, 617, 1851, 6787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20355 and 20361. The biggest common factor number is the GCF number.
So the greatest common factor 20355 and 20361 is 3.

Also check out the Least Common Multiple of 20355 and 20361