What is the Greatest Common Factor of 88395 and 88410?

Greatest common factor (GCF) of 88395 and 88410 is 15.

GCF(88395,88410) = 15

We will now calculate the prime factors of 88395 and 88410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88395 and 88410.

How to find the GCF of 88395 and 88410?

We will first find the prime factorization of 88395 and 88410. After we will calculate the factors of 88395 and 88410 and find the biggest common factor number .

Step-1: Prime Factorization of 88395

Prime factors of 88395 are 3, 5, 71, 83. Prime factorization of 88395 in exponential form is:

88395 = 3¹ × 5¹ × 71¹ × 83¹

Step-2: 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-3: Factors of 88395

List of positive integer factors of 88395 that divides 88395 without a remainder.

1, 3, 5, 15, 71, 83, 213, 249, 355, 415, 1065, 1245, 5893, 17679, 29465

Step-4: Factors of 88410

List of positive integer factors of 88410 that divides 88395 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88395 and 88410. The biggest common factor number is the GCF number.
So the greatest common factor 88395 and 88410 is 15.

Also check out the Least Common Multiple of 88395 and 88410