What is the Greatest Common Factor of 88410 and 88430?

Greatest common factor (GCF) of 88410 and 88430 is 10.

GCF(88410,88430) = 10

We will now calculate the prime factors of 88410 and 88430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88410 and 88430.

How to find the GCF of 88410 and 88430?

We will first find the prime factorization of 88410 and 88430. After we will calculate the factors of 88410 and 88430 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 88430

Prime factors of 88430 are 2, 5, 37, 239. Prime factorization of 88430 in exponential form is:

88430 = 2¹ × 5¹ × 37¹ × 239¹

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 88430

List of positive integer factors of 88430 that divides 88410 without a remainder.

1, 2, 5, 10, 37, 74, 185, 239, 370, 478, 1195, 2390, 8843, 17686, 44215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88410 and 88430. The biggest common factor number is the GCF number.
So the greatest common factor 88410 and 88430 is 10.

Also check out the Least Common Multiple of 88410 and 88430