What is the Greatest Common Factor of 75582 and 75588?

Greatest common factor (GCF) of 75582 and 75588 is 6.

GCF(75582,75588) = 6

We will now calculate the prime factors of 75582 and 75588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75582 and 75588.

How to find the GCF of 75582 and 75588?

We will first find the prime factorization of 75582 and 75588. After we will calculate the factors of 75582 and 75588 and find the biggest common factor number .

Step-1: Prime Factorization of 75582

Prime factors of 75582 are 2, 3, 13, 17, 19. Prime factorization of 75582 in exponential form is:

75582 = 2¹ × 3² × 13¹ × 17¹ × 19¹

Step-2: Prime Factorization of 75588

Prime factors of 75588 are 2, 3, 6299. Prime factorization of 75588 in exponential form is:

75588 = 2² × 3¹ × 6299¹

Step-3: Factors of 75582

List of positive integer factors of 75582 that divides 75582 without a remainder.

1, 2, 3, 6, 9, 13, 17, 18, 19, 26, 34, 38, 39, 51, 57, 78, 102, 114, 117, 153, 171, 221, 234, 247, 306, 323, 342, 442, 494, 646, 663, 741, 969, 1326, 1482, 1938, 1989, 2223, 2907, 3978, 4199, 4446, 5814, 8398, 12597, 25194, 37791

Step-4: Factors of 75588

List of positive integer factors of 75588 that divides 75582 without a remainder.

1, 2, 3, 4, 6, 12, 6299, 12598, 18897, 25196, 37794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75582 and 75588. The biggest common factor number is the GCF number.
So the greatest common factor 75582 and 75588 is 6.

Also check out the Least Common Multiple of 75582 and 75588