What is the Greatest Common Factor of 75636 and 75656?

Greatest common factor (GCF) of 75636 and 75656 is 4.

GCF(75636,75656) = 4

We will now calculate the prime factors of 75636 and 75656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75636 and 75656.

How to find the GCF of 75636 and 75656?

We will first find the prime factorization of 75636 and 75656. After we will calculate the factors of 75636 and 75656 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 75656

Prime factors of 75656 are 2, 7, 193. Prime factorization of 75656 in exponential form is:

75656 = 2³ × 7² × 193¹

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 75656

List of positive integer factors of 75656 that divides 75636 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 193, 196, 386, 392, 772, 1351, 1544, 2702, 5404, 9457, 10808, 18914, 37828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75636 and 75656. The biggest common factor number is the GCF number.
So the greatest common factor 75636 and 75656 is 4.

Also check out the Least Common Multiple of 75636 and 75656