What is the Greatest Common Factor of 34025 and 34031?

Greatest common factor (GCF) of 34025 and 34031 is 1.

GCF(34025,34031) = 1

We will now calculate the prime factors of 34025 and 34031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34025 and 34031.

How to find the GCF of 34025 and 34031?

We will first find the prime factorization of 34025 and 34031. After we will calculate the factors of 34025 and 34031 and find the biggest common factor number .

Step-1: Prime Factorization of 34025

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

34025 = 5² × 1361¹

Step-2: Prime Factorization of 34031

Prime factors of 34031 are 34031. Prime factorization of 34031 in exponential form is:

34031 = 34031¹

Step-3: Factors of 34025

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

1, 5, 25, 1361, 6805

Step-4: Factors of 34031

List of positive integer factors of 34031 that divides 34025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34025 and 34031. The biggest common factor number is the GCF number.
So the greatest common factor 34025 and 34031 is 1.

Also check out the Least Common Multiple of 34025 and 34031