What is the Greatest Common Factor of 88409 and 88425?

Greatest common factor (GCF) of 88409 and 88425 is 1.

GCF(88409,88425) = 1

We will now calculate the prime factors of 88409 and 88425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88409 and 88425.

How to find the GCF of 88409 and 88425?

We will first find the prime factorization of 88409 and 88425. After we will calculate the factors of 88409 and 88425 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 88425

Prime factors of 88425 are 3, 5, 131. Prime factorization of 88425 in exponential form is:

88425 = 3³ × 5² × 131¹

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 88425

List of positive integer factors of 88425 that divides 88409 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 131, 135, 225, 393, 655, 675, 1179, 1965, 3275, 3537, 5895, 9825, 17685, 29475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88409 and 88425. The biggest common factor number is the GCF number.
So the greatest common factor 88409 and 88425 is 1.

Also check out the Least Common Multiple of 88409 and 88425