What is the Greatest Common Factor of 34005 and 34025?

Greatest common factor (GCF) of 34005 and 34025 is 5.

GCF(34005,34025) = 5

We will now calculate the prime factors of 34005 and 34025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34005 and 34025.

How to find the GCF of 34005 and 34025?

We will first find the prime factorization of 34005 and 34025. After we will calculate the factors of 34005 and 34025 and find the biggest common factor number .

Step-1: Prime Factorization of 34005

Prime factors of 34005 are 3, 5, 2267. Prime factorization of 34005 in exponential form is:

34005 = 3¹ × 5¹ × 2267¹

Step-2: Prime Factorization of 34025

Prime factors of 34025 are 5, 1361. Prime factorization of 34025 in exponential form is:

34025 = 5² × 1361¹

Step-3: Factors of 34005

List of positive integer factors of 34005 that divides 34005 without a remainder.

1, 3, 5, 15, 2267, 6801, 11335

Step-4: Factors of 34025

List of positive integer factors of 34025 that divides 34005 without a remainder.

1, 5, 25, 1361, 6805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34005 and 34025. The biggest common factor number is the GCF number.
So the greatest common factor 34005 and 34025 is 5.

Also check out the Least Common Multiple of 34005 and 34025