What is the Greatest Common Factor of 63894 and 63902?

Greatest common factor (GCF) of 63894 and 63902 is 2.

GCF(63894,63902) = 2

We will now calculate the prime factors of 63894 and 63902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63894 and 63902.

How to find the GCF of 63894 and 63902?

We will first find the prime factorization of 63894 and 63902. After we will calculate the factors of 63894 and 63902 and find the biggest common factor number .

Step-1: Prime Factorization of 63894

Prime factors of 63894 are 2, 3, 23, 463. Prime factorization of 63894 in exponential form is:

63894 = 2¹ × 3¹ × 23¹ × 463¹

Step-2: Prime Factorization of 63902

Prime factors of 63902 are 2, 89, 359. Prime factorization of 63902 in exponential form is:

63902 = 2¹ × 89¹ × 359¹

Step-3: Factors of 63894

List of positive integer factors of 63894 that divides 63894 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 463, 926, 1389, 2778, 10649, 21298, 31947

Step-4: Factors of 63902

List of positive integer factors of 63902 that divides 63894 without a remainder.

1, 2, 89, 178, 359, 718, 31951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63894 and 63902. The biggest common factor number is the GCF number.
So the greatest common factor 63894 and 63902 is 2.

Also check out the Least Common Multiple of 63894 and 63902