What is the Greatest Common Factor of 34245 and 34261?

Greatest common factor (GCF) of 34245 and 34261 is 1.

GCF(34245,34261) = 1

We will now calculate the prime factors of 34245 and 34261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34245 and 34261.

How to find the GCF of 34245 and 34261?

We will first find the prime factorization of 34245 and 34261. After we will calculate the factors of 34245 and 34261 and find the biggest common factor number .

Step-1: Prime Factorization of 34245

Prime factors of 34245 are 3, 5, 761. Prime factorization of 34245 in exponential form is:

34245 = 3² × 5¹ × 761¹

Step-2: Prime Factorization of 34261

Prime factors of 34261 are 34261. Prime factorization of 34261 in exponential form is:

34261 = 34261¹

Step-3: Factors of 34245

List of positive integer factors of 34245 that divides 34245 without a remainder.

1, 3, 5, 9, 15, 45, 761, 2283, 3805, 6849, 11415

Step-4: Factors of 34261

List of positive integer factors of 34261 that divides 34245 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34245 and 34261. The biggest common factor number is the GCF number.
So the greatest common factor 34245 and 34261 is 1.

Also check out the Least Common Multiple of 34245 and 34261