What is the Greatest Common Factor of 29370 and 29385?

Greatest common factor (GCF) of 29370 and 29385 is 15.

GCF(29370,29385) = 15

We will now calculate the prime factors of 29370 and 29385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29370 and 29385.

How to find the GCF of 29370 and 29385?

We will first find the prime factorization of 29370 and 29385. After we will calculate the factors of 29370 and 29385 and find the biggest common factor number .

Step-1: Prime Factorization of 29370

Prime factors of 29370 are 2, 3, 5, 11, 89. Prime factorization of 29370 in exponential form is:

29370 = 2¹ × 3¹ × 5¹ × 11¹ × 89¹

Step-2: Prime Factorization of 29385

Prime factors of 29385 are 3, 5, 653. Prime factorization of 29385 in exponential form is:

29385 = 3² × 5¹ × 653¹

Step-3: Factors of 29370

List of positive integer factors of 29370 that divides 29370 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 89, 110, 165, 178, 267, 330, 445, 534, 890, 979, 1335, 1958, 2670, 2937, 4895, 5874, 9790, 14685

Step-4: Factors of 29385

List of positive integer factors of 29385 that divides 29370 without a remainder.

1, 3, 5, 9, 15, 45, 653, 1959, 3265, 5877, 9795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29370 and 29385. The biggest common factor number is the GCF number.
So the greatest common factor 29370 and 29385 is 15.

Also check out the Least Common Multiple of 29370 and 29385