What is the Greatest Common Factor of 71778 and 71790?

Greatest common factor (GCF) of 71778 and 71790 is 6.

GCF(71778,71790) = 6

We will now calculate the prime factors of 71778 and 71790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71778 and 71790.

How to find the GCF of 71778 and 71790?

We will first find the prime factorization of 71778 and 71790. After we will calculate the factors of 71778 and 71790 and find the biggest common factor number .

Step-1: Prime Factorization of 71778

Prime factors of 71778 are 2, 3, 7, 1709. Prime factorization of 71778 in exponential form is:

71778 = 2¹ × 3¹ × 7¹ × 1709¹

Step-2: Prime Factorization of 71790

Prime factors of 71790 are 2, 3, 5, 2393. Prime factorization of 71790 in exponential form is:

71790 = 2¹ × 3¹ × 5¹ × 2393¹

Step-3: Factors of 71778

List of positive integer factors of 71778 that divides 71778 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1709, 3418, 5127, 10254, 11963, 23926, 35889

Step-4: Factors of 71790

List of positive integer factors of 71790 that divides 71778 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2393, 4786, 7179, 11965, 14358, 23930, 35895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71778 and 71790. The biggest common factor number is the GCF number.
So the greatest common factor 71778 and 71790 is 6.

Also check out the Least Common Multiple of 71778 and 71790