What is the Greatest Common Factor of 7024 and 7035?

Greatest common factor (GCF) of 7024 and 7035 is 1.

GCF(7024,7035) = 1

We will now calculate the prime factors of 7024 and 7035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7024 and 7035.

How to find the GCF of 7024 and 7035?

We will first find the prime factorization of 7024 and 7035. After we will calculate the factors of 7024 and 7035 and find the biggest common factor number .

Step-1: Prime Factorization of 7024

Prime factors of 7024 are 2, 439. Prime factorization of 7024 in exponential form is:

7024 = 2⁴ × 439¹

Step-2: 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-3: Factors of 7024

List of positive integer factors of 7024 that divides 7024 without a remainder.

1, 2, 4, 8, 16, 439, 878, 1756, 3512

Step-4: Factors of 7035

List of positive integer factors of 7035 that divides 7024 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7024 and 7035. The biggest common factor number is the GCF number.
So the greatest common factor 7024 and 7035 is 1.

Also check out the Least Common Multiple of 7024 and 7035