What is the Greatest Common Factor of 7362 and 7376?

Greatest common factor (GCF) of 7362 and 7376 is 2.

GCF(7362,7376) = 2

We will now calculate the prime factors of 7362 and 7376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7362 and 7376.

How to find the GCF of 7362 and 7376?

We will first find the prime factorization of 7362 and 7376. After we will calculate the factors of 7362 and 7376 and find the biggest common factor number .

Step-1: Prime Factorization of 7362

Prime factors of 7362 are 2, 3, 409. Prime factorization of 7362 in exponential form is:

7362 = 2¹ × 3² × 409¹

Step-2: Prime Factorization of 7376

Prime factors of 7376 are 2, 461. Prime factorization of 7376 in exponential form is:

7376 = 2⁴ × 461¹

Step-3: Factors of 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1, 2, 3, 6, 9, 18, 409, 818, 1227, 2454, 3681

Step-4: Factors of 7376

List of positive integer factors of 7376 that divides 7362 without a remainder.

1, 2, 4, 8, 16, 461, 922, 1844, 3688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7362 and 7376. The biggest common factor number is the GCF number.
So the greatest common factor 7362 and 7376 is 2.

Also check out the Least Common Multiple of 7362 and 7376