What is the Greatest Common Factor of 29370 and 29388?

Greatest common factor (GCF) of 29370 and 29388 is 6.

GCF(29370,29388) = 6

We will now calculate the prime factors of 29370 and 29388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29370 and 29388.

How to find the GCF of 29370 and 29388?

We will first find the prime factorization of 29370 and 29388. After we will calculate the factors of 29370 and 29388 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 29388

Prime factors of 29388 are 2, 3, 31, 79. Prime factorization of 29388 in exponential form is:

29388 = 2² × 3¹ × 31¹ × 79¹

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 29388

List of positive integer factors of 29388 that divides 29370 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 79, 93, 124, 158, 186, 237, 316, 372, 474, 948, 2449, 4898, 7347, 9796, 14694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29370 and 29388. The biggest common factor number is the GCF number.
So the greatest common factor 29370 and 29388 is 6.

Also check out the Least Common Multiple of 29370 and 29388