What is the Greatest Common Factor of 89340 and 89355?

Greatest common factor (GCF) of 89340 and 89355 is 15.

GCF(89340,89355) = 15

We will now calculate the prime factors of 89340 and 89355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89340 and 89355.

How to find the GCF of 89340 and 89355?

We will first find the prime factorization of 89340 and 89355. After we will calculate the factors of 89340 and 89355 and find the biggest common factor number .

Step-1: Prime Factorization of 89340

Prime factors of 89340 are 2, 3, 5, 1489. Prime factorization of 89340 in exponential form is:

89340 = 2² × 3¹ × 5¹ × 1489¹

Step-2: 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-3: Factors of 89340

List of positive integer factors of 89340 that divides 89340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1489, 2978, 4467, 5956, 7445, 8934, 14890, 17868, 22335, 29780, 44670

Step-4: Factors of 89355

List of positive integer factors of 89355 that divides 89340 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89340 and 89355. The biggest common factor number is the GCF number.
So the greatest common factor 89340 and 89355 is 15.

Also check out the Least Common Multiple of 89340 and 89355