What is the Greatest Common Factor of 63634 and 63654?

Greatest common factor (GCF) of 63634 and 63654 is 2.

GCF(63634,63654) = 2

We will now calculate the prime factors of 63634 and 63654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63634 and 63654.

How to find the GCF of 63634 and 63654?

We will first find the prime factorization of 63634 and 63654. After we will calculate the factors of 63634 and 63654 and find the biggest common factor number .

Step-1: Prime Factorization of 63634

Prime factors of 63634 are 2, 31817. Prime factorization of 63634 in exponential form is:

63634 = 2¹ × 31817¹

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 63634

List of positive integer factors of 63634 that divides 63634 without a remainder.

1, 2, 31817

Step-4: Factors of 63654

List of positive integer factors of 63654 that divides 63634 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 63634 and 63654. The biggest common factor number is the GCF number.
So the greatest common factor 63634 and 63654 is 2.

Also check out the Least Common Multiple of 63634 and 63654