What is the Greatest Common Factor of 63322 and 63342?

Greatest common factor (GCF) of 63322 and 63342 is 2.

GCF(63322,63342) = 2

We will now calculate the prime factors of 63322 and 63342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63322 and 63342.

How to find the GCF of 63322 and 63342?

We will first find the prime factorization of 63322 and 63342. After we will calculate the factors of 63322 and 63342 and find the biggest common factor number .

Step-1: Prime Factorization of 63322

Prime factors of 63322 are 2, 7, 4523. Prime factorization of 63322 in exponential form is:

63322 = 2¹ × 7¹ × 4523¹

Step-2: 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-3: Factors of 63322

List of positive integer factors of 63322 that divides 63322 without a remainder.

1, 2, 7, 14, 4523, 9046, 31661

Step-4: Factors of 63342

List of positive integer factors of 63342 that divides 63322 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63322 and 63342. The biggest common factor number is the GCF number.
So the greatest common factor 63322 and 63342 is 2.

Also check out the Least Common Multiple of 63322 and 63342