What is the Greatest Common Factor of 7035 and 7045?

Greatest common factor (GCF) of 7035 and 7045 is 5.

GCF(7035,7045) = 5

We will now calculate the prime factors of 7035 and 7045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7035 and 7045.

How to find the GCF of 7035 and 7045?

We will first find the prime factorization of 7035 and 7045. After we will calculate the factors of 7035 and 7045 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 7045

Prime factors of 7045 are 5, 1409. Prime factorization of 7045 in exponential form is:

7045 = 5¹ × 1409¹

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 7045

List of positive integer factors of 7045 that divides 7035 without a remainder.

1, 5, 1409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7035 and 7045. The biggest common factor number is the GCF number.
So the greatest common factor 7035 and 7045 is 5.

Also check out the Least Common Multiple of 7035 and 7045