What is the Greatest Common Factor of 69305 and 69316?

Greatest common factor (GCF) of 69305 and 69316 is 1.

GCF(69305,69316) = 1

We will now calculate the prime factors of 69305 and 69316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69305 and 69316.

How to find the GCF of 69305 and 69316?

We will first find the prime factorization of 69305 and 69316. After we will calculate the factors of 69305 and 69316 and find the biggest common factor number .

Step-1: Prime Factorization of 69305

Prime factors of 69305 are 5, 83, 167. Prime factorization of 69305 in exponential form is:

69305 = 5¹ × 83¹ × 167¹

Step-2: Prime Factorization of 69316

Prime factors of 69316 are 2, 13, 31, 43. Prime factorization of 69316 in exponential form is:

69316 = 2² × 13¹ × 31¹ × 43¹

Step-3: Factors of 69305

List of positive integer factors of 69305 that divides 69305 without a remainder.

1, 5, 83, 167, 415, 835, 13861

Step-4: Factors of 69316

List of positive integer factors of 69316 that divides 69305 without a remainder.

1, 2, 4, 13, 26, 31, 43, 52, 62, 86, 124, 172, 403, 559, 806, 1118, 1333, 1612, 2236, 2666, 5332, 17329, 34658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69305 and 69316. The biggest common factor number is the GCF number.
So the greatest common factor 69305 and 69316 is 1.

Also check out the Least Common Multiple of 69305 and 69316