What is the Greatest Common Factor of 29355 and 29370?

Greatest common factor (GCF) of 29355 and 29370 is 15.

GCF(29355,29370) = 15

We will now calculate the prime factors of 29355 and 29370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29355 and 29370.

How to find the GCF of 29355 and 29370?

We will first find the prime factorization of 29355 and 29370. After we will calculate the factors of 29355 and 29370 and find the biggest common factor number .

Step-1: Prime Factorization of 29355

Prime factors of 29355 are 3, 5, 19, 103. Prime factorization of 29355 in exponential form is:

29355 = 3¹ × 5¹ × 19¹ × 103¹

Step-2: 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-3: Factors of 29355

List of positive integer factors of 29355 that divides 29355 without a remainder.

1, 3, 5, 15, 19, 57, 95, 103, 285, 309, 515, 1545, 1957, 5871, 9785

Step-4: Factors of 29370

List of positive integer factors of 29370 that divides 29355 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29355 and 29370. The biggest common factor number is the GCF number.
So the greatest common factor 29355 and 29370 is 15.

Also check out the Least Common Multiple of 29355 and 29370