What is the Greatest Common Factor of 68355 and 68361?

Greatest common factor (GCF) of 68355 and 68361 is 3.

GCF(68355,68361) = 3

We will now calculate the prime factors of 68355 and 68361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68355 and 68361.

How to find the GCF of 68355 and 68361?

We will first find the prime factorization of 68355 and 68361. After we will calculate the factors of 68355 and 68361 and find the biggest common factor number .

Step-1: Prime Factorization of 68355

Prime factors of 68355 are 3, 5, 7, 31. Prime factorization of 68355 in exponential form is:

68355 = 3² × 5¹ × 7² × 31¹

Step-2: Prime Factorization of 68361

Prime factors of 68361 are 3, 22787. Prime factorization of 68361 in exponential form is:

68361 = 3¹ × 22787¹

Step-3: Factors of 68355

List of positive integer factors of 68355 that divides 68355 without a remainder.

1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 49, 63, 93, 105, 147, 155, 217, 245, 279, 315, 441, 465, 651, 735, 1085, 1395, 1519, 1953, 2205, 3255, 4557, 7595, 9765, 13671, 22785

Step-4: Factors of 68361

List of positive integer factors of 68361 that divides 68355 without a remainder.

1, 3, 22787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68355 and 68361. The biggest common factor number is the GCF number.
So the greatest common factor 68355 and 68361 is 3.

Also check out the Least Common Multiple of 68355 and 68361