What is the Greatest Common Factor of 69604 and 69609?

Greatest common factor (GCF) of 69604 and 69609 is 1.

GCF(69604,69609) = 1

We will now calculate the prime factors of 69604 and 69609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69604 and 69609.

How to find the GCF of 69604 and 69609?

We will first find the prime factorization of 69604 and 69609. After we will calculate the factors of 69604 and 69609 and find the biggest common factor number .

Step-1: Prime Factorization of 69604

Prime factors of 69604 are 2, 17401. Prime factorization of 69604 in exponential form is:

69604 = 2² × 17401¹

Step-2: Prime Factorization of 69609

Prime factors of 69609 are 3, 23203. Prime factorization of 69609 in exponential form is:

69609 = 3¹ × 23203¹

Step-3: Factors of 69604

List of positive integer factors of 69604 that divides 69604 without a remainder.

1, 2, 4, 17401, 34802

Step-4: Factors of 69609

List of positive integer factors of 69609 that divides 69604 without a remainder.

1, 3, 23203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69604 and 69609. The biggest common factor number is the GCF number.
So the greatest common factor 69604 and 69609 is 1.

Also check out the Least Common Multiple of 69604 and 69609