What is the Greatest Common Factor of 7060 and 7075?

Greatest common factor (GCF) of 7060 and 7075 is 5.

GCF(7060,7075) = 5

We will now calculate the prime factors of 7060 and 7075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7060 and 7075.

How to find the GCF of 7060 and 7075?

We will first find the prime factorization of 7060 and 7075. After we will calculate the factors of 7060 and 7075 and find the biggest common factor number .

Step-1: Prime Factorization of 7060

Prime factors of 7060 are 2, 5, 353. Prime factorization of 7060 in exponential form is:

7060 = 2² × 5¹ × 353¹

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 7060

List of positive integer factors of 7060 that divides 7060 without a remainder.

1, 2, 4, 5, 10, 20, 353, 706, 1412, 1765, 3530

Step-4: Factors of 7075

List of positive integer factors of 7075 that divides 7060 without a remainder.

1, 5, 25, 283, 1415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7060 and 7075. The biggest common factor number is the GCF number.
So the greatest common factor 7060 and 7075 is 5.

Also check out the Least Common Multiple of 7060 and 7075