What is the Greatest Common Factor of 75372 and 75387?

Greatest common factor (GCF) of 75372 and 75387 is 3.

GCF(75372,75387) = 3

We will now calculate the prime factors of 75372 and 75387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75372 and 75387.

How to find the GCF of 75372 and 75387?

We will first find the prime factorization of 75372 and 75387. After we will calculate the factors of 75372 and 75387 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75387

Prime factors of 75387 are 3, 13, 1933. Prime factorization of 75387 in exponential form is:

75387 = 3¹ × 13¹ × 1933¹

Step-3: Factors of 75372

List of positive integer factors of 75372 that divides 75372 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

Step-4: Factors of 75387

List of positive integer factors of 75387 that divides 75372 without a remainder.

1, 3, 13, 39, 1933, 5799, 25129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75372 and 75387. The biggest common factor number is the GCF number.
So the greatest common factor 75372 and 75387 is 3.

Also check out the Least Common Multiple of 75372 and 75387