What is the Greatest Common Factor of 29337 and 29352?

Greatest common factor (GCF) of 29337 and 29352 is 3.

GCF(29337,29352) = 3

We will now calculate the prime factors of 29337 and 29352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29337 and 29352.

How to find the GCF of 29337 and 29352?

We will first find the prime factorization of 29337 and 29352. After we will calculate the factors of 29337 and 29352 and find the biggest common factor number .

Step-1: Prime Factorization of 29337

Prime factors of 29337 are 3, 7, 11, 127. Prime factorization of 29337 in exponential form is:

29337 = 3¹ × 7¹ × 11¹ × 127¹

Step-2: Prime Factorization of 29352

Prime factors of 29352 are 2, 3, 1223. Prime factorization of 29352 in exponential form is:

29352 = 2³ × 3¹ × 1223¹

Step-3: Factors of 29337

List of positive integer factors of 29337 that divides 29337 without a remainder.

1, 3, 7, 11, 21, 33, 77, 127, 231, 381, 889, 1397, 2667, 4191, 9779

Step-4: Factors of 29352

List of positive integer factors of 29352 that divides 29337 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1223, 2446, 3669, 4892, 7338, 9784, 14676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29337 and 29352. The biggest common factor number is the GCF number.
So the greatest common factor 29337 and 29352 is 3.

Also check out the Least Common Multiple of 29337 and 29352