What is the Greatest Common Factor of 75366 and 75372?

Greatest common factor (GCF) of 75366 and 75372 is 6.

GCF(75366,75372) = 6

We will now calculate the prime factors of 75366 and 75372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75366 and 75372.

How to find the GCF of 75366 and 75372?

We will first find the prime factorization of 75366 and 75372. After we will calculate the factors of 75366 and 75372 and find the biggest common factor number .

Step-1: Prime Factorization of 75366

Prime factors of 75366 are 2, 3, 53, 79. Prime factorization of 75366 in exponential form is:

75366 = 2¹ × 3² × 53¹ × 79¹

Step-2: Prime Factorization of 75372

Prime factors of 75372 are 2, 3, 11, 571. Prime factorization of 75372 in exponential form is:

75372 = 2² × 3¹ × 11¹ × 571¹

Step-3: Factors of 75366

List of positive integer factors of 75366 that divides 75366 without a remainder.

1, 2, 3, 6, 9, 18, 53, 79, 106, 158, 159, 237, 318, 474, 477, 711, 954, 1422, 4187, 8374, 12561, 25122, 37683

Step-4: Factors of 75372

List of positive integer factors of 75372 that divides 75366 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 571, 1142, 1713, 2284, 3426, 6281, 6852, 12562, 18843, 25124, 37686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75366 and 75372. The biggest common factor number is the GCF number.
So the greatest common factor 75366 and 75372 is 6.

Also check out the Least Common Multiple of 75366 and 75372