What is the Greatest Common Factor of 34357 and 34372?

Greatest common factor (GCF) of 34357 and 34372 is 1.

GCF(34357,34372) = 1

We will now calculate the prime factors of 34357 and 34372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34357 and 34372.

How to find the GCF of 34357 and 34372?

We will first find the prime factorization of 34357 and 34372. After we will calculate the factors of 34357 and 34372 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34372

Prime factors of 34372 are 2, 13, 661. Prime factorization of 34372 in exponential form is:

34372 = 2² × 13¹ × 661¹

Step-3: Factors of 34357

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

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

Step-4: Factors of 34372

List of positive integer factors of 34372 that divides 34357 without a remainder.

1, 2, 4, 13, 26, 52, 661, 1322, 2644, 8593, 17186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34357 and 34372. The biggest common factor number is the GCF number.
So the greatest common factor 34357 and 34372 is 1.

Also check out the Least Common Multiple of 34357 and 34372