What is the Greatest Common Factor of 7040 and 7051?

Greatest common factor (GCF) of 7040 and 7051 is 11.

GCF(7040,7051) = 11

We will now calculate the prime factors of 7040 and 7051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7040 and 7051.

How to find the GCF of 7040 and 7051?

We will first find the prime factorization of 7040 and 7051. After we will calculate the factors of 7040 and 7051 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 7051

Prime factors of 7051 are 11, 641. Prime factorization of 7051 in exponential form is:

7051 = 11¹ × 641¹

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 7051

List of positive integer factors of 7051 that divides 7040 without a remainder.

1, 11, 641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7040 and 7051. The biggest common factor number is the GCF number.
So the greatest common factor 7040 and 7051 is 11.

Also check out the Least Common Multiple of 7040 and 7051