What is the Greatest Common Factor of 10025 and 10034?

Greatest common factor (GCF) of 10025 and 10034 is 1.

GCF(10025,10034) = 1

We will now calculate the prime factors of 10025 and 10034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10025 and 10034.

How to find the GCF of 10025 and 10034?

We will first find the prime factorization of 10025 and 10034. After we will calculate the factors of 10025 and 10034 and find the biggest common factor number .

Step-1: Prime Factorization of 10025

Prime factors of 10025 are 5, 401. Prime factorization of 10025 in exponential form is:

10025 = 5² × 401¹

Step-2: Prime Factorization of 10034

Prime factors of 10034 are 2, 29, 173. Prime factorization of 10034 in exponential form is:

10034 = 2¹ × 29¹ × 173¹

Step-3: Factors of 10025

List of positive integer factors of 10025 that divides 10025 without a remainder.

1, 5, 25, 401, 2005

Step-4: Factors of 10034

List of positive integer factors of 10034 that divides 10025 without a remainder.

1, 2, 29, 58, 173, 346, 5017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10025 and 10034. The biggest common factor number is the GCF number.
So the greatest common factor 10025 and 10034 is 1.

Also check out the Least Common Multiple of 10025 and 10034