What is the Greatest Common Factor of 29696 and 29704?

Greatest common factor (GCF) of 29696 and 29704 is 8.

GCF(29696,29704) = 8

We will now calculate the prime factors of 29696 and 29704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29696 and 29704.

How to find the GCF of 29696 and 29704?

We will first find the prime factorization of 29696 and 29704. After we will calculate the factors of 29696 and 29704 and find the biggest common factor number .

Step-1: Prime Factorization of 29696

Prime factors of 29696 are 2, 29. Prime factorization of 29696 in exponential form is:

29696 = 2¹⁰ × 29¹

Step-2: Prime Factorization of 29704

Prime factors of 29704 are 2, 47, 79. Prime factorization of 29704 in exponential form is:

29704 = 2³ × 47¹ × 79¹

Step-3: Factors of 29696

List of positive integer factors of 29696 that divides 29696 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 512, 928, 1024, 1856, 3712, 7424, 14848

Step-4: Factors of 29704

List of positive integer factors of 29704 that divides 29696 without a remainder.

1, 2, 4, 8, 47, 79, 94, 158, 188, 316, 376, 632, 3713, 7426, 14852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29696 and 29704. The biggest common factor number is the GCF number.
So the greatest common factor 29696 and 29704 is 8.

Also check out the Least Common Multiple of 29696 and 29704