What is the Greatest Common Factor of 69340 and 69359?

Greatest common factor (GCF) of 69340 and 69359 is 1.

GCF(69340,69359) = 1

We will now calculate the prime factors of 69340 and 69359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69340 and 69359.

How to find the GCF of 69340 and 69359?

We will first find the prime factorization of 69340 and 69359. After we will calculate the factors of 69340 and 69359 and find the biggest common factor number .

Step-1: Prime Factorization of 69340

Prime factors of 69340 are 2, 5, 3467. Prime factorization of 69340 in exponential form is:

69340 = 2² × 5¹ × 3467¹

Step-2: Prime Factorization of 69359

Prime factors of 69359 are 43, 1613. Prime factorization of 69359 in exponential form is:

69359 = 43¹ × 1613¹

Step-3: Factors of 69340

List of positive integer factors of 69340 that divides 69340 without a remainder.

1, 2, 4, 5, 10, 20, 3467, 6934, 13868, 17335, 34670

Step-4: Factors of 69359

List of positive integer factors of 69359 that divides 69340 without a remainder.

1, 43, 1613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69340 and 69359. The biggest common factor number is the GCF number.
So the greatest common factor 69340 and 69359 is 1.

Also check out the Least Common Multiple of 69340 and 69359