What is the Greatest Common Factor of 63376 and 63392?

Greatest common factor (GCF) of 63376 and 63392 is 16.

GCF(63376,63392) = 16

We will now calculate the prime factors of 63376 and 63392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63376 and 63392.

How to find the GCF of 63376 and 63392?

We will first find the prime factorization of 63376 and 63392. After we will calculate the factors of 63376 and 63392 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63392

Prime factors of 63392 are 2, 7, 283. Prime factorization of 63392 in exponential form is:

63392 = 2⁵ × 7¹ × 283¹

Step-3: Factors of 63376

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

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

Step-4: Factors of 63392

List of positive integer factors of 63392 that divides 63376 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 283, 566, 1132, 1981, 2264, 3962, 4528, 7924, 9056, 15848, 31696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63376 and 63392. The biggest common factor number is the GCF number.
So the greatest common factor 63376 and 63392 is 16.

Also check out the Least Common Multiple of 63376 and 63392