What is the Greatest Common Factor of 34006 and 34025?

Greatest common factor (GCF) of 34006 and 34025 is 1.

GCF(34006,34025) = 1

We will now calculate the prime factors of 34006 and 34025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34006 and 34025.

How to find the GCF of 34006 and 34025?

We will first find the prime factorization of 34006 and 34025. After we will calculate the factors of 34006 and 34025 and find the biggest common factor number .

Step-1: Prime Factorization of 34006

Prime factors of 34006 are 2, 7, 347. Prime factorization of 34006 in exponential form is:

34006 = 2¹ × 7² × 347¹

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 34006

List of positive integer factors of 34006 that divides 34006 without a remainder.

1, 2, 7, 14, 49, 98, 347, 694, 2429, 4858, 17003

Step-4: Factors of 34025

List of positive integer factors of 34025 that divides 34006 without a remainder.

1, 5, 25, 1361, 6805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34006 and 34025. The biggest common factor number is the GCF number.
So the greatest common factor 34006 and 34025 is 1.

Also check out the Least Common Multiple of 34006 and 34025