What is the Greatest Common Factor of 63784 and 63791?

Greatest common factor (GCF) of 63784 and 63791 is 7.

GCF(63784,63791) = 7

We will now calculate the prime factors of 63784 and 63791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63784 and 63791.

How to find the GCF of 63784 and 63791?

We will first find the prime factorization of 63784 and 63791. After we will calculate the factors of 63784 and 63791 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 63791

Prime factors of 63791 are 7, 13, 701. Prime factorization of 63791 in exponential form is:

63791 = 7¹ × 13¹ × 701¹

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 63791

List of positive integer factors of 63791 that divides 63784 without a remainder.

1, 7, 13, 91, 701, 4907, 9113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63784 and 63791. The biggest common factor number is the GCF number.
So the greatest common factor 63784 and 63791 is 7.

Also check out the Least Common Multiple of 63784 and 63791