What is the Greatest Common Factor of 88410 and 88416?

Greatest common factor (GCF) of 88410 and 88416 is 6.

GCF(88410,88416) = 6

We will now calculate the prime factors of 88410 and 88416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88410 and 88416.

How to find the GCF of 88410 and 88416?

We will first find the prime factorization of 88410 and 88416. After we will calculate the factors of 88410 and 88416 and find the biggest common factor number .

Step-1: Prime Factorization of 88410

Prime factors of 88410 are 2, 3, 5, 7, 421. Prime factorization of 88410 in exponential form is:

88410 = 2¹ × 3¹ × 5¹ × 7¹ × 421¹

Step-2: Prime Factorization of 88416

Prime factors of 88416 are 2, 3, 307. Prime factorization of 88416 in exponential form is:

88416 = 2⁵ × 3² × 307¹

Step-3: Factors of 88410

List of positive integer factors of 88410 that divides 88410 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 421, 842, 1263, 2105, 2526, 2947, 4210, 5894, 6315, 8841, 12630, 14735, 17682, 29470, 44205

Step-4: Factors of 88416

List of positive integer factors of 88416 that divides 88410 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 307, 614, 921, 1228, 1842, 2456, 2763, 3684, 4912, 5526, 7368, 9824, 11052, 14736, 22104, 29472, 44208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88410 and 88416. The biggest common factor number is the GCF number.
So the greatest common factor 88410 and 88416 is 6.

Also check out the Least Common Multiple of 88410 and 88416