What is the Greatest Common Factor of 29316 and 29336?

Greatest common factor (GCF) of 29316 and 29336 is 4.

GCF(29316,29336) = 4

We will now calculate the prime factors of 29316 and 29336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29316 and 29336.

How to find the GCF of 29316 and 29336?

We will first find the prime factorization of 29316 and 29336. After we will calculate the factors of 29316 and 29336 and find the biggest common factor number .

Step-1: Prime Factorization of 29316

Prime factors of 29316 are 2, 3, 7, 349. Prime factorization of 29316 in exponential form is:

29316 = 2² × 3¹ × 7¹ × 349¹

Step-2: Prime Factorization of 29336

Prime factors of 29336 are 2, 19, 193. Prime factorization of 29336 in exponential form is:

29336 = 2³ × 19¹ × 193¹

Step-3: Factors of 29316

List of positive integer factors of 29316 that divides 29316 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 349, 698, 1047, 1396, 2094, 2443, 4188, 4886, 7329, 9772, 14658

Step-4: Factors of 29336

List of positive integer factors of 29336 that divides 29316 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 193, 386, 772, 1544, 3667, 7334, 14668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29316 and 29336. The biggest common factor number is the GCF number.
So the greatest common factor 29316 and 29336 is 4.

Also check out the Least Common Multiple of 29316 and 29336