What is the Greatest Common Factor of 89328 and 89340?

Greatest common factor (GCF) of 89328 and 89340 is 12.

GCF(89328,89340) = 12

We will now calculate the prime factors of 89328 and 89340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89328 and 89340.

How to find the GCF of 89328 and 89340?

We will first find the prime factorization of 89328 and 89340. After we will calculate the factors of 89328 and 89340 and find the biggest common factor number .

Step-1: Prime Factorization of 89328

Prime factors of 89328 are 2, 3, 1861. Prime factorization of 89328 in exponential form is:

89328 = 2⁴ × 3¹ × 1861¹

Step-2: 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-3: Factors of 89328

List of positive integer factors of 89328 that divides 89328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1861, 3722, 5583, 7444, 11166, 14888, 22332, 29776, 44664

Step-4: Factors of 89340

List of positive integer factors of 89340 that divides 89328 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89328 and 89340. The biggest common factor number is the GCF number.
So the greatest common factor 89328 and 89340 is 12.

Also check out the Least Common Multiple of 89328 and 89340