What is the Greatest Common Factor of 7025 and 7034?

Greatest common factor (GCF) of 7025 and 7034 is 1.

GCF(7025,7034) = 1

We will now calculate the prime factors of 7025 and 7034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7025 and 7034.

How to find the GCF of 7025 and 7034?

We will first find the prime factorization of 7025 and 7034. After we will calculate the factors of 7025 and 7034 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 7034

Prime factors of 7034 are 2, 3517. Prime factorization of 7034 in exponential form is:

7034 = 2¹ × 3517¹

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 7034

List of positive integer factors of 7034 that divides 7025 without a remainder.

1, 2, 3517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7025 and 7034. The biggest common factor number is the GCF number.
So the greatest common factor 7025 and 7034 is 1.

Also check out the Least Common Multiple of 7025 and 7034