What is the Greatest Common Factor of 75790 and 75798?

Greatest common factor (GCF) of 75790 and 75798 is 2.

GCF(75790,75798) = 2

We will now calculate the prime factors of 75790 and 75798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75790 and 75798.

How to find the GCF of 75790 and 75798?

We will first find the prime factorization of 75790 and 75798. After we will calculate the factors of 75790 and 75798 and find the biggest common factor number .

Step-1: Prime Factorization of 75790

Prime factors of 75790 are 2, 5, 11, 13, 53. Prime factorization of 75790 in exponential form is:

75790 = 2¹ × 5¹ × 11¹ × 13¹ × 53¹

Step-2: Prime Factorization of 75798

Prime factors of 75798 are 2, 3, 4211. Prime factorization of 75798 in exponential form is:

75798 = 2¹ × 3² × 4211¹

Step-3: Factors of 75790

List of positive integer factors of 75790 that divides 75790 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 53, 55, 65, 106, 110, 130, 143, 265, 286, 530, 583, 689, 715, 1166, 1378, 1430, 2915, 3445, 5830, 6890, 7579, 15158, 37895

Step-4: Factors of 75798

List of positive integer factors of 75798 that divides 75790 without a remainder.

1, 2, 3, 6, 9, 18, 4211, 8422, 12633, 25266, 37899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75790 and 75798. The biggest common factor number is the GCF number.
So the greatest common factor 75790 and 75798 is 2.

Also check out the Least Common Multiple of 75790 and 75798