What is the Greatest Common Factor of 29796 and 29816?

Greatest common factor (GCF) of 29796 and 29816 is 4.

GCF(29796,29816) = 4

We will now calculate the prime factors of 29796 and 29816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29796 and 29816.

How to find the GCF of 29796 and 29816?

We will first find the prime factorization of 29796 and 29816. After we will calculate the factors of 29796 and 29816 and find the biggest common factor number .

Step-1: Prime Factorization of 29796

Prime factors of 29796 are 2, 3, 13, 191. Prime factorization of 29796 in exponential form is:

29796 = 2² × 3¹ × 13¹ × 191¹

Step-2: Prime Factorization of 29816

Prime factors of 29816 are 2, 3727. Prime factorization of 29816 in exponential form is:

29816 = 2³ × 3727¹

Step-3: Factors of 29796

List of positive integer factors of 29796 that divides 29796 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 191, 382, 573, 764, 1146, 2292, 2483, 4966, 7449, 9932, 14898

Step-4: Factors of 29816

List of positive integer factors of 29816 that divides 29796 without a remainder.

1, 2, 4, 8, 3727, 7454, 14908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29796 and 29816. The biggest common factor number is the GCF number.
So the greatest common factor 29796 and 29816 is 4.

Also check out the Least Common Multiple of 29796 and 29816