What is the Greatest Common Factor of 75015 and 75035?

Greatest common factor (GCF) of 75015 and 75035 is 5.

GCF(75015,75035) = 5

We will now calculate the prime factors of 75015 and 75035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75015 and 75035.

How to find the GCF of 75015 and 75035?

We will first find the prime factorization of 75015 and 75035. After we will calculate the factors of 75015 and 75035 and find the biggest common factor number .

Step-1: Prime Factorization of 75015

Prime factors of 75015 are 3, 5, 1667. Prime factorization of 75015 in exponential form is:

75015 = 3² × 5¹ × 1667¹

Step-2: Prime Factorization of 75035

Prime factors of 75035 are 5, 43, 349. Prime factorization of 75035 in exponential form is:

75035 = 5¹ × 43¹ × 349¹

Step-3: Factors of 75015

List of positive integer factors of 75015 that divides 75015 without a remainder.

1, 3, 5, 9, 15, 45, 1667, 5001, 8335, 15003, 25005

Step-4: Factors of 75035

List of positive integer factors of 75035 that divides 75015 without a remainder.

1, 5, 43, 215, 349, 1745, 15007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75015 and 75035. The biggest common factor number is the GCF number.
So the greatest common factor 75015 and 75035 is 5.

Also check out the Least Common Multiple of 75015 and 75035