What is the Greatest Common Factor of 89370 and 89388?

Greatest common factor (GCF) of 89370 and 89388 is 18.

GCF(89370,89388) = 18

We will now calculate the prime factors of 89370 and 89388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89370 and 89388.

How to find the GCF of 89370 and 89388?

We will first find the prime factorization of 89370 and 89388. After we will calculate the factors of 89370 and 89388 and find the biggest common factor number .

Step-1: Prime Factorization of 89370

Prime factors of 89370 are 2, 3, 5, 331. Prime factorization of 89370 in exponential form is:

89370 = 2¹ × 3³ × 5¹ × 331¹

Step-2: Prime Factorization of 89388

Prime factors of 89388 are 2, 3, 13, 191. Prime factorization of 89388 in exponential form is:

89388 = 2² × 3² × 13¹ × 191¹

Step-3: Factors of 89370

List of positive integer factors of 89370 that divides 89370 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 331, 662, 993, 1655, 1986, 2979, 3310, 4965, 5958, 8937, 9930, 14895, 17874, 29790, 44685

Step-4: Factors of 89388

List of positive integer factors of 89388 that divides 89370 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 191, 234, 382, 468, 573, 764, 1146, 1719, 2292, 2483, 3438, 4966, 6876, 7449, 9932, 14898, 22347, 29796, 44694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89370 and 89388. The biggest common factor number is the GCF number.
So the greatest common factor 89370 and 89388 is 18.

Also check out the Least Common Multiple of 89370 and 89388