What is the Greatest Common Factor of 63342 and 63357?

Greatest common factor (GCF) of 63342 and 63357 is 3.

GCF(63342,63357) = 3

We will now calculate the prime factors of 63342 and 63357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63342 and 63357.

How to find the GCF of 63342 and 63357?

We will first find the prime factorization of 63342 and 63357. After we will calculate the factors of 63342 and 63357 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 63357

Prime factors of 63357 are 3, 7, 431. Prime factorization of 63357 in exponential form is:

63357 = 3¹ × 7² × 431¹

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 63357

List of positive integer factors of 63357 that divides 63342 without a remainder.

1, 3, 7, 21, 49, 147, 431, 1293, 3017, 9051, 21119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63342 and 63357. The biggest common factor number is the GCF number.
So the greatest common factor 63342 and 63357 is 3.

Also check out the Least Common Multiple of 63342 and 63357