What is the Greatest Common Factor of 63645 and 63654?

Greatest common factor (GCF) of 63645 and 63654 is 3.

GCF(63645,63654) = 3

We will now calculate the prime factors of 63645 and 63654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63645 and 63654.

How to find the GCF of 63645 and 63654?

We will first find the prime factorization of 63645 and 63654. After we will calculate the factors of 63645 and 63654 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 63654

Prime factors of 63654 are 2, 3, 103. Prime factorization of 63654 in exponential form is:

63654 = 2¹ × 3¹ × 103²

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 63654

List of positive integer factors of 63654 that divides 63645 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618, 10609, 21218, 31827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63645 and 63654. The biggest common factor number is the GCF number.
So the greatest common factor 63645 and 63654 is 3.

Also check out the Least Common Multiple of 63645 and 63654