What is the Greatest Common Factor of 88409 and 88413?

Greatest common factor (GCF) of 88409 and 88413 is 1.

GCF(88409,88413) = 1

We will now calculate the prime factors of 88409 and 88413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88409 and 88413.

How to find the GCF of 88409 and 88413?

We will first find the prime factorization of 88409 and 88413. After we will calculate the factors of 88409 and 88413 and find the biggest common factor number .

Step-1: Prime Factorization of 88409

Prime factors of 88409 are 211, 419. Prime factorization of 88409 in exponential form is:

88409 = 211¹ × 419¹

Step-2: Prime Factorization of 88413

Prime factors of 88413 are 3, 13, 2267. Prime factorization of 88413 in exponential form is:

88413 = 3¹ × 13¹ × 2267¹

Step-3: Factors of 88409

List of positive integer factors of 88409 that divides 88409 without a remainder.

1, 211, 419

Step-4: Factors of 88413

List of positive integer factors of 88413 that divides 88409 without a remainder.

1, 3, 13, 39, 2267, 6801, 29471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88409 and 88413. The biggest common factor number is the GCF number.
So the greatest common factor 88409 and 88413 is 1.

Also check out the Least Common Multiple of 88409 and 88413