What is the Greatest Common Factor of 75636 and 75648?

Greatest common factor (GCF) of 75636 and 75648 is 12.

GCF(75636,75648) = 12

We will now calculate the prime factors of 75636 and 75648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75636 and 75648.

How to find the GCF of 75636 and 75648?

We will first find the prime factorization of 75636 and 75648. After we will calculate the factors of 75636 and 75648 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 75648

Prime factors of 75648 are 2, 3, 197. Prime factorization of 75648 in exponential form is:

75648 = 2⁷ × 3¹ × 197¹

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 75648

List of positive integer factors of 75648 that divides 75636 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 197, 384, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 6304, 9456, 12608, 18912, 25216, 37824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75636 and 75648. The biggest common factor number is the GCF number.
So the greatest common factor 75636 and 75648 is 12.

Also check out the Least Common Multiple of 75636 and 75648