What is the Greatest Common Factor of 7025 and 7042?

Greatest common factor (GCF) of 7025 and 7042 is 1.

GCF(7025,7042) = 1

We will now calculate the prime factors of 7025 and 7042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7025 and 7042.

How to find the GCF of 7025 and 7042?

We will first find the prime factorization of 7025 and 7042. After we will calculate the factors of 7025 and 7042 and find the biggest common factor number .

Step-1: Prime Factorization of 7025

Prime factors of 7025 are 5, 281. Prime factorization of 7025 in exponential form is:

7025 = 5² × 281¹

Step-2: Prime Factorization of 7042

Prime factors of 7042 are 2, 7, 503. Prime factorization of 7042 in exponential form is:

7042 = 2¹ × 7¹ × 503¹

Step-3: Factors of 7025

List of positive integer factors of 7025 that divides 7025 without a remainder.

1, 5, 25, 281, 1405

Step-4: Factors of 7042

List of positive integer factors of 7042 that divides 7025 without a remainder.

1, 2, 7, 14, 503, 1006, 3521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7025 and 7042. The biggest common factor number is the GCF number.
So the greatest common factor 7025 and 7042 is 1.

Also check out the Least Common Multiple of 7025 and 7042