What is the Greatest Common Factor of 89292 and 89310?

Greatest common factor (GCF) of 89292 and 89310 is 6.

GCF(89292,89310) = 6

We will now calculate the prime factors of 89292 and 89310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89292 and 89310.

How to find the GCF of 89292 and 89310?

We will first find the prime factorization of 89292 and 89310. After we will calculate the factors of 89292 and 89310 and find the biggest common factor number .

Step-1: Prime Factorization of 89292

Prime factors of 89292 are 2, 3, 7, 1063. Prime factorization of 89292 in exponential form is:

89292 = 2² × 3¹ × 7¹ × 1063¹

Step-2: Prime Factorization of 89310

Prime factors of 89310 are 2, 3, 5, 13, 229. Prime factorization of 89310 in exponential form is:

89310 = 2¹ × 3¹ × 5¹ × 13¹ × 229¹

Step-3: Factors of 89292

List of positive integer factors of 89292 that divides 89292 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1063, 2126, 3189, 4252, 6378, 7441, 12756, 14882, 22323, 29764, 44646

Step-4: Factors of 89310

List of positive integer factors of 89310 that divides 89292 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 229, 390, 458, 687, 1145, 1374, 2290, 2977, 3435, 5954, 6870, 8931, 14885, 17862, 29770, 44655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89292 and 89310. The biggest common factor number is the GCF number.
So the greatest common factor 89292 and 89310 is 6.

Also check out the Least Common Multiple of 89292 and 89310