What is the Greatest Common Factor of 75780 and 75790?

Greatest common factor (GCF) of 75780 and 75790 is 10.

GCF(75780,75790) = 10

We will now calculate the prime factors of 75780 and 75790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75780 and 75790.

How to find the GCF of 75780 and 75790?

We will first find the prime factorization of 75780 and 75790. After we will calculate the factors of 75780 and 75790 and find the biggest common factor number .

Step-1: Prime Factorization of 75780

Prime factors of 75780 are 2, 3, 5, 421. Prime factorization of 75780 in exponential form is:

75780 = 2² × 3² × 5¹ × 421¹

Step-2: 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-3: Factors of 75780

List of positive integer factors of 75780 that divides 75780 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 421, 842, 1263, 1684, 2105, 2526, 3789, 4210, 5052, 6315, 7578, 8420, 12630, 15156, 18945, 25260, 37890

Step-4: Factors of 75790

List of positive integer factors of 75790 that divides 75780 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75780 and 75790. The biggest common factor number is the GCF number.
So the greatest common factor 75780 and 75790 is 10.

Also check out the Least Common Multiple of 75780 and 75790