What is the Greatest Common Factor of 3015 and 3035?

Greatest common factor (GCF) of 3015 and 3035 is 5.

GCF(3015,3035) = 5

We will now calculate the prime factors of 3015 and 3035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3015 and 3035.

How to find the GCF of 3015 and 3035?

We will first find the prime factorization of 3015 and 3035. After we will calculate the factors of 3015 and 3035 and find the biggest common factor number .

Step-1: Prime Factorization of 3015

Prime factors of 3015 are 3, 5, 67. Prime factorization of 3015 in exponential form is:

3015 = 3² × 5¹ × 67¹

Step-2: Prime Factorization of 3035

Prime factors of 3035 are 5, 607. Prime factorization of 3035 in exponential form is:

3035 = 5¹ × 607¹

Step-3: Factors of 3015

List of positive integer factors of 3015 that divides 3015 without a remainder.

1, 3, 5, 9, 15, 45, 67, 201, 335, 603, 1005

Step-4: Factors of 3035

List of positive integer factors of 3035 that divides 3015 without a remainder.

1, 5, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3015 and 3035. The biggest common factor number is the GCF number.
So the greatest common factor 3015 and 3035 is 5.

Also check out the Least Common Multiple of 3015 and 3035