What is the Greatest Common Factor of 63776 and 63784?

Greatest common factor (GCF) of 63776 and 63784 is 8.

GCF(63776,63784) = 8

We will now calculate the prime factors of 63776 and 63784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63776 and 63784.

How to find the GCF of 63776 and 63784?

We will first find the prime factorization of 63776 and 63784. After we will calculate the factors of 63776 and 63784 and find the biggest common factor number .

Step-1: Prime Factorization of 63776

Prime factors of 63776 are 2, 1993. Prime factorization of 63776 in exponential form is:

63776 = 2⁵ × 1993¹

Step-2: Prime Factorization of 63784

Prime factors of 63784 are 2, 7, 17, 67. Prime factorization of 63784 in exponential form is:

63784 = 2³ × 7¹ × 17¹ × 67¹

Step-3: Factors of 63776

List of positive integer factors of 63776 that divides 63776 without a remainder.

1, 2, 4, 8, 16, 32, 1993, 3986, 7972, 15944, 31888

Step-4: Factors of 63784

List of positive integer factors of 63784 that divides 63776 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 67, 68, 119, 134, 136, 238, 268, 469, 476, 536, 938, 952, 1139, 1876, 2278, 3752, 4556, 7973, 9112, 15946, 31892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63776 and 63784. The biggest common factor number is the GCF number.
So the greatest common factor 63776 and 63784 is 8.

Also check out the Least Common Multiple of 63776 and 63784