Gcf 29, 116

Answer 1

To find the greatest common factor (GCF) of 29 and 116, we can look at the prime factors of each number.

1. Prime factorization:

   • The number 29 is a prime number, so its only factors are 1 and 29.
   • The number 116 can be divided by 2 (since it's even):
     • \(116 ÷ 2 = 58\)
     • \(58 ÷ 2 = 29\)
     • So, \(116 = 2^2 \times 29\).

2. Identify common factors:

   • The factors of 29: 1, 29
   • The factors of 116: 1, 2, 4, 29, 58, 116

The common factors of 29 and 116 are 1 and 29.

3. Greatest Common Factor:
   • The GCF of 29 and 116 is 29.