What is the Greatest Common Factor of 75336 and 75340?

Greatest common factor (GCF) of 75336 and 75340 is 4.

GCF(75336,75340) = 4

We will now calculate the prime factors of 75336 and 75340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75336 and 75340.

How to find the GCF of 75336 and 75340?

We will first find the prime factorization of 75336 and 75340. After we will calculate the factors of 75336 and 75340 and find the biggest common factor number .

Step-1: Prime Factorization of 75336

Prime factors of 75336 are 2, 3, 43, 73. Prime factorization of 75336 in exponential form is:

75336 = 2³ × 3¹ × 43¹ × 73¹

Step-2: Prime Factorization of 75340

Prime factors of 75340 are 2, 5, 3767. Prime factorization of 75340 in exponential form is:

75340 = 2² × 5¹ × 3767¹

Step-3: Factors of 75336

List of positive integer factors of 75336 that divides 75336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 73, 86, 129, 146, 172, 219, 258, 292, 344, 438, 516, 584, 876, 1032, 1752, 3139, 6278, 9417, 12556, 18834, 25112, 37668

Step-4: Factors of 75340

List of positive integer factors of 75340 that divides 75336 without a remainder.

1, 2, 4, 5, 10, 20, 3767, 7534, 15068, 18835, 37670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75336 and 75340. The biggest common factor number is the GCF number.
So the greatest common factor 75336 and 75340 is 4.

Also check out the Least Common Multiple of 75336 and 75340