What is the Greatest Common Factor of 63654 and 63670?

Greatest common factor (GCF) of 63654 and 63670 is 2.

GCF(63654,63670) = 2

We will now calculate the prime factors of 63654 and 63670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63654 and 63670.

How to find the GCF of 63654 and 63670?

We will first find the prime factorization of 63654 and 63670. After we will calculate the factors of 63654 and 63670 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 63670

Prime factors of 63670 are 2, 5, 6367. Prime factorization of 63670 in exponential form is:

63670 = 2¹ × 5¹ × 6367¹

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 63670

List of positive integer factors of 63670 that divides 63654 without a remainder.

1, 2, 5, 10, 6367, 12734, 31835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63654 and 63670. The biggest common factor number is the GCF number.
So the greatest common factor 63654 and 63670 is 2.

Also check out the Least Common Multiple of 63654 and 63670