What is the Greatest Common Factor of 7024 and 7036?

Greatest common factor (GCF) of 7024 and 7036 is 4.

GCF(7024,7036) = 4

We will now calculate the prime factors of 7024 and 7036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7024 and 7036.

How to find the GCF of 7024 and 7036?

We will first find the prime factorization of 7024 and 7036. After we will calculate the factors of 7024 and 7036 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 7036

Prime factors of 7036 are 2, 1759. Prime factorization of 7036 in exponential form is:

7036 = 2² × 1759¹

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 7036

List of positive integer factors of 7036 that divides 7024 without a remainder.

1, 2, 4, 1759, 3518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7024 and 7036. The biggest common factor number is the GCF number.
So the greatest common factor 7024 and 7036 is 4.

Also check out the Least Common Multiple of 7024 and 7036