What is the Greatest Common Factor of 7364 and 7371?

Greatest common factor (GCF) of 7364 and 7371 is 7.

GCF(7364,7371) = 7

We will now calculate the prime factors of 7364 and 7371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7364 and 7371.

How to find the GCF of 7364 and 7371?

We will first find the prime factorization of 7364 and 7371. After we will calculate the factors of 7364 and 7371 and find the biggest common factor number .

Step-1: Prime Factorization of 7364

Prime factors of 7364 are 2, 7, 263. Prime factorization of 7364 in exponential form is:

7364 = 2² × 7¹ × 263¹

Step-2: Prime Factorization of 7371

Prime factors of 7371 are 3, 7, 13. Prime factorization of 7371 in exponential form is:

7371 = 3⁴ × 7¹ × 13¹

Step-3: Factors of 7364

List of positive integer factors of 7364 that divides 7364 without a remainder.

1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682

Step-4: Factors of 7371

List of positive integer factors of 7371 that divides 7364 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 189, 273, 351, 567, 819, 1053, 2457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7364 and 7371. The biggest common factor number is the GCF number.
So the greatest common factor 7364 and 7371 is 7.

Also check out the Least Common Multiple of 7364 and 7371