What is the Greatest Common Factor of 7040 and 7056?

Greatest common factor (GCF) of 7040 and 7056 is 16.

GCF(7040,7056) = 16

We will now calculate the prime factors of 7040 and 7056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7040 and 7056.

How to find the GCF of 7040 and 7056?

We will first find the prime factorization of 7040 and 7056. After we will calculate the factors of 7040 and 7056 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7056

Prime factors of 7056 are 2, 3, 7. Prime factorization of 7056 in exponential form is:

7056 = 2⁴ × 3² × 7²

Step-3: Factors of 7040

List of positive integer factors of 7040 that divides 7040 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

Step-4: Factors of 7056

List of positive integer factors of 7056 that divides 7040 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 392, 441, 504, 588, 784, 882, 1008, 1176, 1764, 2352, 3528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7040 and 7056. The biggest common factor number is the GCF number.
So the greatest common factor 7040 and 7056 is 16.

Also check out the Least Common Multiple of 7040 and 7056