What is the Greatest Common Factor of 7035 and 7044?

Greatest common factor (GCF) of 7035 and 7044 is 3.

GCF(7035,7044) = 3

We will now calculate the prime factors of 7035 and 7044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7035 and 7044.

How to find the GCF of 7035 and 7044?

We will first find the prime factorization of 7035 and 7044. After we will calculate the factors of 7035 and 7044 and find the biggest common factor number .

Step-1: Prime Factorization of 7035

Prime factors of 7035 are 3, 5, 7, 67. Prime factorization of 7035 in exponential form is:

7035 = 3¹ × 5¹ × 7¹ × 67¹

Step-2: Prime Factorization of 7044

Prime factors of 7044 are 2, 3, 587. Prime factorization of 7044 in exponential form is:

7044 = 2² × 3¹ × 587¹

Step-3: Factors of 7035

List of positive integer factors of 7035 that divides 7035 without a remainder.

1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345

Step-4: Factors of 7044

List of positive integer factors of 7044 that divides 7035 without a remainder.

1, 2, 3, 4, 6, 12, 587, 1174, 1761, 2348, 3522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7035 and 7044. The biggest common factor number is the GCF number.
So the greatest common factor 7035 and 7044 is 3.

Also check out the Least Common Multiple of 7035 and 7044