What is the Greatest Common Factor of 75372 and 75384?

Greatest common factor (GCF) of 75372 and 75384 is 12.

GCF(75372,75384) = 12

We will now calculate the prime factors of 75372 and 75384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75372 and 75384.

How to find the GCF of 75372 and 75384?

We will first find the prime factorization of 75372 and 75384. After we will calculate the factors of 75372 and 75384 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 75384

Prime factors of 75384 are 2, 3, 349. Prime factorization of 75384 in exponential form is:

75384 = 2³ × 3³ × 349¹

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 75384

List of positive integer factors of 75384 that divides 75372 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 349, 698, 1047, 1396, 2094, 2792, 3141, 4188, 6282, 8376, 9423, 12564, 18846, 25128, 37692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75372 and 75384. The biggest common factor number is the GCF number.
So the greatest common factor 75372 and 75384 is 12.

Also check out the Least Common Multiple of 75372 and 75384