What is the Greatest Common Factor of 63828 and 63834?

Greatest common factor (GCF) of 63828 and 63834 is 6.

GCF(63828,63834) = 6

We will now calculate the prime factors of 63828 and 63834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63828 and 63834.

How to find the GCF of 63828 and 63834?

We will first find the prime factorization of 63828 and 63834. After we will calculate the factors of 63828 and 63834 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 63834

Prime factors of 63834 are 2, 3, 10639. Prime factorization of 63834 in exponential form is:

63834 = 2¹ × 3¹ × 10639¹

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 63834

List of positive integer factors of 63834 that divides 63828 without a remainder.

1, 2, 3, 6, 10639, 21278, 31917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63828 and 63834. The biggest common factor number is the GCF number.
So the greatest common factor 63828 and 63834 is 6.

Also check out the Least Common Multiple of 63828 and 63834