What is the Greatest Common Factor of 7061 and 7075?

Greatest common factor (GCF) of 7061 and 7075 is 1.

GCF(7061,7075) = 1

We will now calculate the prime factors of 7061 and 7075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7061 and 7075.

How to find the GCF of 7061 and 7075?

We will first find the prime factorization of 7061 and 7075. After we will calculate the factors of 7061 and 7075 and find the biggest common factor number .

Step-1: Prime Factorization of 7061

Prime factors of 7061 are 23, 307. Prime factorization of 7061 in exponential form is:

7061 = 23¹ × 307¹

Step-2: Prime Factorization of 7075

Prime factors of 7075 are 5, 283. Prime factorization of 7075 in exponential form is:

7075 = 5² × 283¹

Step-3: Factors of 7061

List of positive integer factors of 7061 that divides 7061 without a remainder.

1, 23, 307

Step-4: Factors of 7075

List of positive integer factors of 7075 that divides 7061 without a remainder.

1, 5, 25, 283, 1415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7061 and 7075. The biggest common factor number is the GCF number.
So the greatest common factor 7061 and 7075 is 1.

Also check out the Least Common Multiple of 7061 and 7075