What is the Greatest Common Factor of 34340 and 34357?

Greatest common factor (GCF) of 34340 and 34357 is 17.

GCF(34340,34357) = 17

We will now calculate the prime factors of 34340 and 34357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34340 and 34357.

How to find the GCF of 34340 and 34357?

We will first find the prime factorization of 34340 and 34357. After we will calculate the factors of 34340 and 34357 and find the biggest common factor number .

Step-1: Prime Factorization of 34340

Prime factors of 34340 are 2, 5, 17, 101. Prime factorization of 34340 in exponential form is:

34340 = 2² × 5¹ × 17¹ × 101¹

Step-2: Prime Factorization of 34357

Prime factors of 34357 are 17, 43, 47. Prime factorization of 34357 in exponential form is:

34357 = 17¹ × 43¹ × 47¹

Step-3: Factors of 34340

List of positive integer factors of 34340 that divides 34340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 101, 170, 202, 340, 404, 505, 1010, 1717, 2020, 3434, 6868, 8585, 17170

Step-4: Factors of 34357

List of positive integer factors of 34357 that divides 34340 without a remainder.

1, 17, 43, 47, 731, 799, 2021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34340 and 34357. The biggest common factor number is the GCF number.
So the greatest common factor 34340 and 34357 is 17.

Also check out the Least Common Multiple of 34340 and 34357