What is the Greatest Common Factor of 63784 and 63796?

Greatest common factor (GCF) of 63784 and 63796 is 4.

GCF(63784,63796) = 4

We will now calculate the prime factors of 63784 and 63796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63784 and 63796.

How to find the GCF of 63784 and 63796?

We will first find the prime factorization of 63784 and 63796. After we will calculate the factors of 63784 and 63796 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63796

Prime factors of 63796 are 2, 41, 389. Prime factorization of 63796 in exponential form is:

63796 = 2² × 41¹ × 389¹

Step-3: Factors of 63784

List of positive integer factors of 63784 that divides 63784 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

Step-4: Factors of 63796

List of positive integer factors of 63796 that divides 63784 without a remainder.

1, 2, 4, 41, 82, 164, 389, 778, 1556, 15949, 31898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63784 and 63796. The biggest common factor number is the GCF number.
So the greatest common factor 63784 and 63796 is 4.

Also check out the Least Common Multiple of 63784 and 63796