What is the Greatest Common Factor of 63342 and 63361?

Greatest common factor (GCF) of 63342 and 63361 is 1.

GCF(63342,63361) = 1

We will now calculate the prime factors of 63342 and 63361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63342 and 63361.

How to find the GCF of 63342 and 63361?

We will first find the prime factorization of 63342 and 63361. After we will calculate the factors of 63342 and 63361 and find the biggest common factor number .

Step-1: Prime Factorization of 63342

Prime factors of 63342 are 2, 3, 17, 23. Prime factorization of 63342 in exponential form is:

63342 = 2¹ × 3⁴ × 17¹ × 23¹

Step-2: Prime Factorization of 63361

Prime factors of 63361 are 63361. Prime factorization of 63361 in exponential form is:

63361 = 63361¹

Step-3: Factors of 63342

List of positive integer factors of 63342 that divides 63342 without a remainder.

1, 2, 3, 6, 9, 17, 18, 23, 27, 34, 46, 51, 54, 69, 81, 102, 138, 153, 162, 207, 306, 391, 414, 459, 621, 782, 918, 1173, 1242, 1377, 1863, 2346, 2754, 3519, 3726, 7038, 10557, 21114, 31671

Step-4: Factors of 63361

List of positive integer factors of 63361 that divides 63342 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63342 and 63361. The biggest common factor number is the GCF number.
So the greatest common factor 63342 and 63361 is 1.

Also check out the Least Common Multiple of 63342 and 63361