What is the Greatest Common Factor of 63645 and 63657?

Greatest common factor (GCF) of 63645 and 63657 is 3.

GCF(63645,63657) = 3

We will now calculate the prime factors of 63645 and 63657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63645 and 63657.

How to find the GCF of 63645 and 63657?

We will first find the prime factorization of 63645 and 63657. After we will calculate the factors of 63645 and 63657 and find the biggest common factor number .

Step-1: Prime Factorization of 63645

Prime factors of 63645 are 3, 5, 4243. Prime factorization of 63645 in exponential form is:

63645 = 3¹ × 5¹ × 4243¹

Step-2: 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-3: Factors of 63645

List of positive integer factors of 63645 that divides 63645 without a remainder.

1, 3, 5, 15, 4243, 12729, 21215

Step-4: Factors of 63657

List of positive integer factors of 63657 that divides 63645 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63645 and 63657. The biggest common factor number is the GCF number.
So the greatest common factor 63645 and 63657 is 3.

Also check out the Least Common Multiple of 63645 and 63657