What is the Greatest Common Factor of 4367 and 4382?

Greatest common factor (GCF) of 4367 and 4382 is 1.

GCF(4367,4382) = 1

We will now calculate the prime factors of 4367 and 4382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4367 and 4382.

How to find the GCF of 4367 and 4382?

We will first find the prime factorization of 4367 and 4382. After we will calculate the factors of 4367 and 4382 and find the biggest common factor number .

Step-1: Prime Factorization of 4367

Prime factors of 4367 are 11, 397. Prime factorization of 4367 in exponential form is:

4367 = 11¹ × 397¹

Step-2: Prime Factorization of 4382

Prime factors of 4382 are 2, 7, 313. Prime factorization of 4382 in exponential form is:

4382 = 2¹ × 7¹ × 313¹

Step-3: Factors of 4367

List of positive integer factors of 4367 that divides 4367 without a remainder.

1, 11, 397

Step-4: Factors of 4382

List of positive integer factors of 4382 that divides 4367 without a remainder.

1, 2, 7, 14, 313, 626, 2191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4367 and 4382. The biggest common factor number is the GCF number.
So the greatest common factor 4367 and 4382 is 1.

Also check out the Least Common Multiple of 4367 and 4382