What is the Greatest Common Factor of 63834 and 63852?

Greatest common factor (GCF) of 63834 and 63852 is 6.

GCF(63834,63852) = 6

We will now calculate the prime factors of 63834 and 63852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63834 and 63852.

How to find the GCF of 63834 and 63852?

We will first find the prime factorization of 63834 and 63852. After we will calculate the factors of 63834 and 63852 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63852

Prime factors of 63852 are 2, 3, 17, 313. Prime factorization of 63852 in exponential form is:

63852 = 2² × 3¹ × 17¹ × 313¹

Step-3: Factors of 63834

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

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

Step-4: Factors of 63852

List of positive integer factors of 63852 that divides 63834 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 313, 626, 939, 1252, 1878, 3756, 5321, 10642, 15963, 21284, 31926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63834 and 63852. The biggest common factor number is the GCF number.
So the greatest common factor 63834 and 63852 is 6.

Also check out the Least Common Multiple of 63834 and 63852