What is the Greatest Common Factor of 89355 and 89370?

Greatest common factor (GCF) of 89355 and 89370 is 15.

GCF(89355,89370) = 15

We will now calculate the prime factors of 89355 and 89370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89355 and 89370.

How to find the GCF of 89355 and 89370?

We will first find the prime factorization of 89355 and 89370. After we will calculate the factors of 89355 and 89370 and find the biggest common factor number .

Step-1: Prime Factorization of 89355

Prime factors of 89355 are 3, 5, 7, 23, 37. Prime factorization of 89355 in exponential form is:

89355 = 3¹ × 5¹ × 7¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 89355

List of positive integer factors of 89355 that divides 89355 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 37, 69, 105, 111, 115, 161, 185, 259, 345, 483, 555, 777, 805, 851, 1295, 2415, 2553, 3885, 4255, 5957, 12765, 17871, 29785

Step-4: Factors of 89370

List of positive integer factors of 89370 that divides 89355 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89355 and 89370. The biggest common factor number is the GCF number.
So the greatest common factor 89355 and 89370 is 15.

Also check out the Least Common Multiple of 89355 and 89370