What is the Greatest Common Factor of 29325 and 29337?

Greatest common factor (GCF) of 29325 and 29337 is 3.

GCF(29325,29337) = 3

We will now calculate the prime factors of 29325 and 29337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29325 and 29337.

How to find the GCF of 29325 and 29337?

We will first find the prime factorization of 29325 and 29337. After we will calculate the factors of 29325 and 29337 and find the biggest common factor number .

Step-1: Prime Factorization of 29325

Prime factors of 29325 are 3, 5, 17, 23. Prime factorization of 29325 in exponential form is:

29325 = 3¹ × 5² × 17¹ × 23¹

Step-2: 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-3: Factors of 29325

List of positive integer factors of 29325 that divides 29325 without a remainder.

1, 3, 5, 15, 17, 23, 25, 51, 69, 75, 85, 115, 255, 345, 391, 425, 575, 1173, 1275, 1725, 1955, 5865, 9775

Step-4: Factors of 29337

List of positive integer factors of 29337 that divides 29325 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29325 and 29337. The biggest common factor number is the GCF number.
So the greatest common factor 29325 and 29337 is 3.

Also check out the Least Common Multiple of 29325 and 29337