What is the Greatest Common Factor of 63678 and 63693?

Greatest common factor (GCF) of 63678 and 63693 is 3.

GCF(63678,63693) = 3

We will now calculate the prime factors of 63678 and 63693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63678 and 63693.

How to find the GCF of 63678 and 63693?

We will first find the prime factorization of 63678 and 63693. After we will calculate the factors of 63678 and 63693 and find the biggest common factor number .

Step-1: Prime Factorization of 63678

Prime factors of 63678 are 2, 3, 10613. Prime factorization of 63678 in exponential form is:

63678 = 2¹ × 3¹ × 10613¹

Step-2: Prime Factorization of 63693

Prime factors of 63693 are 3, 7, 337. Prime factorization of 63693 in exponential form is:

63693 = 3³ × 7¹ × 337¹

Step-3: Factors of 63678

List of positive integer factors of 63678 that divides 63678 without a remainder.

1, 2, 3, 6, 10613, 21226, 31839

Step-4: Factors of 63693

List of positive integer factors of 63693 that divides 63678 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 337, 1011, 2359, 3033, 7077, 9099, 21231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63678 and 63693. The biggest common factor number is the GCF number.
So the greatest common factor 63678 and 63693 is 3.

Also check out the Least Common Multiple of 63678 and 63693