What is the Greatest Common Factor of 45015 and 45035?

Greatest common factor (GCF) of 45015 and 45035 is 5.

GCF(45015,45035) = 5

We will now calculate the prime factors of 45015 and 45035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45015 and 45035.

How to find the GCF of 45015 and 45035?

We will first find the prime factorization of 45015 and 45035. After we will calculate the factors of 45015 and 45035 and find the biggest common factor number .

Step-1: Prime Factorization of 45015

Prime factors of 45015 are 3, 5, 3001. Prime factorization of 45015 in exponential form is:

45015 = 3¹ × 5¹ × 3001¹

Step-2: Prime Factorization of 45035

Prime factors of 45035 are 5, 9007. Prime factorization of 45035 in exponential form is:

45035 = 5¹ × 9007¹

Step-3: Factors of 45015

List of positive integer factors of 45015 that divides 45015 without a remainder.

1, 3, 5, 15, 3001, 9003, 15005

Step-4: Factors of 45035

List of positive integer factors of 45035 that divides 45015 without a remainder.

1, 5, 9007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45015 and 45035. The biggest common factor number is the GCF number.
So the greatest common factor 45015 and 45035 is 5.

Also check out the Least Common Multiple of 45015 and 45035