What is the Greatest Common Factor of 29325 and 29340?

Greatest common factor (GCF) of 29325 and 29340 is 15.

GCF(29325,29340) = 15

We will now calculate the prime factors of 29325 and 29340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29325 and 29340.

How to find the GCF of 29325 and 29340?

We will first find the prime factorization of 29325 and 29340. After we will calculate the factors of 29325 and 29340 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 29340

Prime factors of 29340 are 2, 3, 5, 163. Prime factorization of 29340 in exponential form is:

29340 = 2² × 3² × 5¹ × 163¹

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 29340

List of positive integer factors of 29340 that divides 29325 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 163, 180, 326, 489, 652, 815, 978, 1467, 1630, 1956, 2445, 2934, 3260, 4890, 5868, 7335, 9780, 14670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29325 and 29340. The biggest common factor number is the GCF number.
So the greatest common factor 29325 and 29340 is 15.

Also check out the Least Common Multiple of 29325 and 29340