What is the Greatest Common Factor of 69321 and 69341?

Greatest common factor (GCF) of 69321 and 69341 is 1.

GCF(69321,69341) = 1

We will now calculate the prime factors of 69321 and 69341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69321 and 69341.

How to find the GCF of 69321 and 69341?

We will first find the prime factorization of 69321 and 69341. After we will calculate the factors of 69321 and 69341 and find the biggest common factor number .

Step-1: Prime Factorization of 69321

Prime factors of 69321 are 3, 7, 3301. Prime factorization of 69321 in exponential form is:

69321 = 3¹ × 7¹ × 3301¹

Step-2: Prime Factorization of 69341

Prime factors of 69341 are 69341. Prime factorization of 69341 in exponential form is:

69341 = 69341¹

Step-3: Factors of 69321

List of positive integer factors of 69321 that divides 69321 without a remainder.

1, 3, 7, 21, 3301, 9903, 23107

Step-4: Factors of 69341

List of positive integer factors of 69341 that divides 69321 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69321 and 69341. The biggest common factor number is the GCF number.
So the greatest common factor 69321 and 69341 is 1.

Also check out the Least Common Multiple of 69321 and 69341