What is the Greatest Common Factor of 7350 and 7368?

Greatest common factor (GCF) of 7350 and 7368 is 6.

GCF(7350,7368) = 6

We will now calculate the prime factors of 7350 and 7368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7350 and 7368.

How to find the GCF of 7350 and 7368?

We will first find the prime factorization of 7350 and 7368. After we will calculate the factors of 7350 and 7368 and find the biggest common factor number .

Step-1: Prime Factorization of 7350

Prime factors of 7350 are 2, 3, 5, 7. Prime factorization of 7350 in exponential form is:

7350 = 2¹ × 3¹ × 5² × 7²

Step-2: Prime Factorization of 7368

Prime factors of 7368 are 2, 3, 307. Prime factorization of 7368 in exponential form is:

7368 = 2³ × 3¹ × 307¹

Step-3: Factors of 7350

List of positive integer factors of 7350 that divides 7350 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675

Step-4: Factors of 7368

List of positive integer factors of 7368 that divides 7350 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 307, 614, 921, 1228, 1842, 2456, 3684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7350 and 7368. The biggest common factor number is the GCF number.
So the greatest common factor 7350 and 7368 is 6.

Also check out the Least Common Multiple of 7350 and 7368