What is the Greatest Common Factor of 34025 and 34030?

Greatest common factor (GCF) of 34025 and 34030 is 5.

GCF(34025,34030) = 5

We will now calculate the prime factors of 34025 and 34030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34025 and 34030.

How to find the GCF of 34025 and 34030?

We will first find the prime factorization of 34025 and 34030. After we will calculate the factors of 34025 and 34030 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 34030

Prime factors of 34030 are 2, 5, 41, 83. Prime factorization of 34030 in exponential form is:

34030 = 2¹ × 5¹ × 41¹ × 83¹

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 34030

List of positive integer factors of 34030 that divides 34025 without a remainder.

1, 2, 5, 10, 41, 82, 83, 166, 205, 410, 415, 830, 3403, 6806, 17015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34025 and 34030. The biggest common factor number is the GCF number.
So the greatest common factor 34025 and 34030 is 5.

Also check out the Least Common Multiple of 34025 and 34030