What is the Greatest Common Factor of 7040 and 7046?

Greatest common factor (GCF) of 7040 and 7046 is 2.

GCF(7040,7046) = 2

We will now calculate the prime factors of 7040 and 7046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7040 and 7046.

How to find the GCF of 7040 and 7046?

We will first find the prime factorization of 7040 and 7046. After we will calculate the factors of 7040 and 7046 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 7046

Prime factors of 7046 are 2, 13, 271. Prime factorization of 7046 in exponential form is:

7046 = 2¹ × 13¹ × 271¹

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 7046

List of positive integer factors of 7046 that divides 7040 without a remainder.

1, 2, 13, 26, 271, 542, 3523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7040 and 7046. The biggest common factor number is the GCF number.
So the greatest common factor 7040 and 7046 is 2.

Also check out the Least Common Multiple of 7040 and 7046