What is the Greatest Common Factor of 63654 and 63664?

Greatest common factor (GCF) of 63654 and 63664 is 2.

GCF(63654,63664) = 2

We will now calculate the prime factors of 63654 and 63664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63654 and 63664.

How to find the GCF of 63654 and 63664?

We will first find the prime factorization of 63654 and 63664. After we will calculate the factors of 63654 and 63664 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63664

Prime factors of 63664 are 2, 23, 173. Prime factorization of 63664 in exponential form is:

63664 = 2⁴ × 23¹ × 173¹

Step-3: Factors of 63654

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

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

Step-4: Factors of 63664

List of positive integer factors of 63664 that divides 63654 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 173, 184, 346, 368, 692, 1384, 2768, 3979, 7958, 15916, 31832

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63654 and 63664. The biggest common factor number is the GCF number.
So the greatest common factor 63654 and 63664 is 2.

Also check out the Least Common Multiple of 63654 and 63664