What is the Greatest Common Factor of 29310 and 29325?

Greatest common factor (GCF) of 29310 and 29325 is 15.

GCF(29310,29325) = 15

We will now calculate the prime factors of 29310 and 29325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29310 and 29325.

How to find the GCF of 29310 and 29325?

We will first find the prime factorization of 29310 and 29325. After we will calculate the factors of 29310 and 29325 and find the biggest common factor number .

Step-1: Prime Factorization of 29310

Prime factors of 29310 are 2, 3, 5, 977. Prime factorization of 29310 in exponential form is:

29310 = 2¹ × 3¹ × 5¹ × 977¹

Step-2: 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-3: Factors of 29310

List of positive integer factors of 29310 that divides 29310 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 977, 1954, 2931, 4885, 5862, 9770, 14655

Step-4: Factors of 29325

List of positive integer factors of 29325 that divides 29310 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29310 and 29325. The biggest common factor number is the GCF number.
So the greatest common factor 29310 and 29325 is 15.

Also check out the Least Common Multiple of 29310 and 29325