What is the Greatest Common Factor of 75636 and 75654?

Greatest common factor (GCF) of 75636 and 75654 is 18.

GCF(75636,75654) = 18

We will now calculate the prime factors of 75636 and 75654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75636 and 75654.

How to find the GCF of 75636 and 75654?

We will first find the prime factorization of 75636 and 75654. After we will calculate the factors of 75636 and 75654 and find the biggest common factor number .

Step-1: Prime Factorization of 75636

Prime factors of 75636 are 2, 3, 11, 191. Prime factorization of 75636 in exponential form is:

75636 = 2² × 3² × 11¹ × 191¹

Step-2: Prime Factorization of 75654

Prime factors of 75654 are 2, 3, 467. Prime factorization of 75654 in exponential form is:

75654 = 2¹ × 3⁴ × 467¹

Step-3: Factors of 75636

List of positive integer factors of 75636 that divides 75636 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 191, 198, 382, 396, 573, 764, 1146, 1719, 2101, 2292, 3438, 4202, 6303, 6876, 8404, 12606, 18909, 25212, 37818

Step-4: Factors of 75654

List of positive integer factors of 75654 that divides 75636 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 467, 934, 1401, 2802, 4203, 8406, 12609, 25218, 37827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75636 and 75654. The biggest common factor number is the GCF number.
So the greatest common factor 75636 and 75654 is 18.

Also check out the Least Common Multiple of 75636 and 75654