What is the Greatest Common Factor of 75636 and 75647?

Greatest common factor (GCF) of 75636 and 75647 is 11.

GCF(75636,75647) = 11

We will now calculate the prime factors of 75636 and 75647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75636 and 75647.

How to find the GCF of 75636 and 75647?

We will first find the prime factorization of 75636 and 75647. After we will calculate the factors of 75636 and 75647 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 75647

Prime factors of 75647 are 11, 13, 23. Prime factorization of 75647 in exponential form is:

75647 = 11¹ × 13¹ × 23²

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 75647

List of positive integer factors of 75647 that divides 75636 without a remainder.

1, 11, 13, 23, 143, 253, 299, 529, 3289, 5819, 6877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75636 and 75647. The biggest common factor number is the GCF number.
So the greatest common factor 75636 and 75647 is 11.

Also check out the Least Common Multiple of 75636 and 75647