What is the Greatest Common Factor of 63657 and 63673?

Greatest common factor (GCF) of 63657 and 63673 is 1.

GCF(63657,63673) = 1

We will now calculate the prime factors of 63657 and 63673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63657 and 63673.

How to find the GCF of 63657 and 63673?

We will first find the prime factorization of 63657 and 63673. After we will calculate the factors of 63657 and 63673 and find the biggest common factor number .

Step-1: Prime Factorization of 63657

Prime factors of 63657 are 3, 11, 643. Prime factorization of 63657 in exponential form is:

63657 = 3² × 11¹ × 643¹

Step-2: Prime Factorization of 63673

Prime factors of 63673 are 41, 1553. Prime factorization of 63673 in exponential form is:

63673 = 41¹ × 1553¹

Step-3: Factors of 63657

List of positive integer factors of 63657 that divides 63657 without a remainder.

1, 3, 9, 11, 33, 99, 643, 1929, 5787, 7073, 21219

Step-4: Factors of 63673

List of positive integer factors of 63673 that divides 63657 without a remainder.

1, 41, 1553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63657 and 63673. The biggest common factor number is the GCF number.
So the greatest common factor 63657 and 63673 is 1.

Also check out the Least Common Multiple of 63657 and 63673