What is the Greatest Common Factor of 89286 and 89304?

Greatest common factor (GCF) of 89286 and 89304 is 6.

GCF(89286,89304) = 6

We will now calculate the prime factors of 89286 and 89304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89286 and 89304.

How to find the GCF of 89286 and 89304?

We will first find the prime factorization of 89286 and 89304. After we will calculate the factors of 89286 and 89304 and find the biggest common factor number .

Step-1: Prime Factorization of 89286

Prime factors of 89286 are 2, 3, 23, 647. Prime factorization of 89286 in exponential form is:

89286 = 2¹ × 3¹ × 23¹ × 647¹

Step-2: Prime Factorization of 89304

Prime factors of 89304 are 2, 3, 61. Prime factorization of 89304 in exponential form is:

89304 = 2³ × 3¹ × 61²

Step-3: Factors of 89286

List of positive integer factors of 89286 that divides 89286 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 647, 1294, 1941, 3882, 14881, 29762, 44643

Step-4: Factors of 89304

List of positive integer factors of 89304 that divides 89286 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464, 3721, 7442, 11163, 14884, 22326, 29768, 44652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89286 and 89304. The biggest common factor number is the GCF number.
So the greatest common factor 89286 and 89304 is 6.

Also check out the Least Common Multiple of 89286 and 89304