What is the Greatest Common Factor of 63681 and 63687?

Greatest common factor (GCF) of 63681 and 63687 is 3.

GCF(63681,63687) = 3

We will now calculate the prime factors of 63681 and 63687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63681 and 63687.

How to find the GCF of 63681 and 63687?

We will first find the prime factorization of 63681 and 63687. After we will calculate the factors of 63681 and 63687 and find the biggest common factor number .

Step-1: Prime Factorization of 63681

Prime factors of 63681 are 3, 21227. Prime factorization of 63681 in exponential form is:

63681 = 3¹ × 21227¹

Step-2: 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-3: Factors of 63681

List of positive integer factors of 63681 that divides 63681 without a remainder.

1, 3, 21227

Step-4: Factors of 63687

List of positive integer factors of 63687 that divides 63681 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63681 and 63687. The biggest common factor number is the GCF number.
So the greatest common factor 63681 and 63687 is 3.

Also check out the Least Common Multiple of 63681 and 63687