What is the Greatest Common Factor of 63828 and 63842?

Greatest common factor (GCF) of 63828 and 63842 is 2.

GCF(63828,63842) = 2

We will now calculate the prime factors of 63828 and 63842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63828 and 63842.

How to find the GCF of 63828 and 63842?

We will first find the prime factorization of 63828 and 63842. After we will calculate the factors of 63828 and 63842 and find the biggest common factor number .

Step-1: Prime Factorization of 63828

Prime factors of 63828 are 2, 3, 197. Prime factorization of 63828 in exponential form is:

63828 = 2² × 3⁴ × 197¹

Step-2: Prime Factorization of 63842

Prime factors of 63842 are 2, 137, 233. Prime factorization of 63842 in exponential form is:

63842 = 2¹ × 137¹ × 233¹

Step-3: Factors of 63828

List of positive integer factors of 63828 that divides 63828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 197, 324, 394, 591, 788, 1182, 1773, 2364, 3546, 5319, 7092, 10638, 15957, 21276, 31914

Step-4: Factors of 63842

List of positive integer factors of 63842 that divides 63828 without a remainder.

1, 2, 137, 233, 274, 466, 31921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63828 and 63842. The biggest common factor number is the GCF number.
So the greatest common factor 63828 and 63842 is 2.

Also check out the Least Common Multiple of 63828 and 63842