What is the Greatest Common Factor of 7029 and 7040?

Greatest common factor (GCF) of 7029 and 7040 is 11.

GCF(7029,7040) = 11

We will now calculate the prime factors of 7029 and 7040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7029 and 7040.

How to find the GCF of 7029 and 7040?

We will first find the prime factorization of 7029 and 7040. After we will calculate the factors of 7029 and 7040 and find the biggest common factor number .

Step-1: Prime Factorization of 7029

Prime factors of 7029 are 3, 11, 71. Prime factorization of 7029 in exponential form is:

7029 = 3² × 11¹ × 71¹

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 7029

List of positive integer factors of 7029 that divides 7029 without a remainder.

1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343

Step-4: Factors of 7040

List of positive integer factors of 7040 that divides 7029 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 7029 and 7040. The biggest common factor number is the GCF number.
So the greatest common factor 7029 and 7040 is 11.

Also check out the Least Common Multiple of 7029 and 7040