What is the Greatest Common Factor of 10025 and 10042?

Greatest common factor (GCF) of 10025 and 10042 is 1.

GCF(10025,10042) = 1

We will now calculate the prime factors of 10025 and 10042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10025 and 10042.

How to find the GCF of 10025 and 10042?

We will first find the prime factorization of 10025 and 10042. After we will calculate the factors of 10025 and 10042 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 10042

Prime factors of 10042 are 2, 5021. Prime factorization of 10042 in exponential form is:

10042 = 2¹ × 5021¹

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 10042

List of positive integer factors of 10042 that divides 10025 without a remainder.

1, 2, 5021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10025 and 10042. The biggest common factor number is the GCF number.
So the greatest common factor 10025 and 10042 is 1.

Also check out the Least Common Multiple of 10025 and 10042