What is the Greatest Common Factor of 63368 and 63376?

Greatest common factor (GCF) of 63368 and 63376 is 8.

GCF(63368,63376) = 8

We will now calculate the prime factors of 63368 and 63376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63368 and 63376.

How to find the GCF of 63368 and 63376?

We will first find the prime factorization of 63368 and 63376. After we will calculate the factors of 63368 and 63376 and find the biggest common factor number .

Step-1: Prime Factorization of 63368

Prime factors of 63368 are 2, 89. Prime factorization of 63368 in exponential form is:

63368 = 2³ × 89²

Step-2: Prime Factorization of 63376

Prime factors of 63376 are 2, 17, 233. Prime factorization of 63376 in exponential form is:

63376 = 2⁴ × 17¹ × 233¹

Step-3: Factors of 63368

List of positive integer factors of 63368 that divides 63368 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712, 7921, 15842, 31684

Step-4: Factors of 63376

List of positive integer factors of 63376 that divides 63368 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 233, 272, 466, 932, 1864, 3728, 3961, 7922, 15844, 31688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63368 and 63376. The biggest common factor number is the GCF number.
So the greatest common factor 63368 and 63376 is 8.

Also check out the Least Common Multiple of 63368 and 63376