What is the Greatest Common Factor of 63842 and 63856?

Greatest common factor (GCF) of 63842 and 63856 is 2.

GCF(63842,63856) = 2

We will now calculate the prime factors of 63842 and 63856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63842 and 63856.

How to find the GCF of 63842 and 63856?

We will first find the prime factorization of 63842 and 63856. After we will calculate the factors of 63842 and 63856 and find the biggest common factor number .

Step-1: Prime Factorization of 63842

Prime factors of 63842 are 2, 137, 233. Prime factorization of 63842 in exponential form is:

63842 = 2¹ × 137¹ × 233¹

Step-2: Prime Factorization of 63856

Prime factors of 63856 are 2, 13, 307. Prime factorization of 63856 in exponential form is:

63856 = 2⁴ × 13¹ × 307¹

Step-3: Factors of 63842

List of positive integer factors of 63842 that divides 63842 without a remainder.

1, 2, 137, 233, 274, 466, 31921

Step-4: Factors of 63856

List of positive integer factors of 63856 that divides 63842 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 307, 614, 1228, 2456, 3991, 4912, 7982, 15964, 31928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63842 and 63856. The biggest common factor number is the GCF number.
So the greatest common factor 63842 and 63856 is 2.

Also check out the Least Common Multiple of 63842 and 63856