What is the Greatest Common Factor of 63767 and 63784?

Greatest common factor (GCF) of 63767 and 63784 is 17.

GCF(63767,63784) = 17

We will now calculate the prime factors of 63767 and 63784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63767 and 63784.

How to find the GCF of 63767 and 63784?

We will first find the prime factorization of 63767 and 63784. After we will calculate the factors of 63767 and 63784 and find the biggest common factor number .

Step-1: Prime Factorization of 63767

Prime factors of 63767 are 11, 17, 31. Prime factorization of 63767 in exponential form is:

63767 = 11² × 17¹ × 31¹

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 63767

List of positive integer factors of 63767 that divides 63767 without a remainder.

1, 11, 17, 31, 121, 187, 341, 527, 2057, 3751, 5797

Step-4: Factors of 63784

List of positive integer factors of 63784 that divides 63767 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 63767 and 63784. The biggest common factor number is the GCF number.
So the greatest common factor 63767 and 63784 is 17.

Also check out the Least Common Multiple of 63767 and 63784