What is the Greatest Common Factor of 63687 and 63693?

Greatest common factor (GCF) of 63687 and 63693 is 3.

GCF(63687,63693) = 3

We will now calculate the prime factors of 63687 and 63693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63687 and 63693.

How to find the GCF of 63687 and 63693?

We will first find the prime factorization of 63687 and 63693. After we will calculate the factors of 63687 and 63693 and find the biggest common factor number .

Step-1: Prime Factorization of 63687

Prime factors of 63687 are 3, 13, 23, 71. Prime factorization of 63687 in exponential form is:

63687 = 3¹ × 13¹ × 23¹ × 71¹

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 63687

List of positive integer factors of 63687 that divides 63687 without a remainder.

1, 3, 13, 23, 39, 69, 71, 213, 299, 897, 923, 1633, 2769, 4899, 21229

Step-4: Factors of 63693

List of positive integer factors of 63693 that divides 63687 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 63687 and 63693. The biggest common factor number is the GCF number.
So the greatest common factor 63687 and 63693 is 3.

Also check out the Least Common Multiple of 63687 and 63693