What is the Greatest Common Factor of 7024 and 7040?

Greatest common factor (GCF) of 7024 and 7040 is 16.

GCF(7024,7040) = 16

We will now calculate the prime factors of 7024 and 7040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7024 and 7040.

How to find the GCF of 7024 and 7040?

We will first find the prime factorization of 7024 and 7040. After we will calculate the factors of 7024 and 7040 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 7040

Prime factors of 7040 are 2, 5, 11. Prime factorization of 7040 in exponential form is:

7040 = 2⁷ × 5¹ × 11¹

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 7040

List of positive integer factors of 7040 that divides 7024 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7024 and 7040. The biggest common factor number is the GCF number.
So the greatest common factor 7024 and 7040 is 16.

Also check out the Least Common Multiple of 7024 and 7040