What is the Greatest Common Factor of 2382 and 2402?

Greatest common factor (GCF) of 2382 and 2402 is 2.

GCF(2382,2402) = 2

We will now calculate the prime factors of 2382 and 2402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2382 and 2402.

How to find the GCF of 2382 and 2402?

We will first find the prime factorization of 2382 and 2402. After we will calculate the factors of 2382 and 2402 and find the biggest common factor number .

Step-1: Prime Factorization of 2382

Prime factors of 2382 are 2, 3, 397. Prime factorization of 2382 in exponential form is:

2382 = 2¹ × 3¹ × 397¹

Step-2: Prime Factorization of 2402

Prime factors of 2402 are 2, 1201. Prime factorization of 2402 in exponential form is:

2402 = 2¹ × 1201¹

Step-3: Factors of 2382

List of positive integer factors of 2382 that divides 2382 without a remainder.

1, 2, 3, 6, 397, 794, 1191

Step-4: Factors of 2402

List of positive integer factors of 2402 that divides 2382 without a remainder.

1, 2, 1201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2382 and 2402. The biggest common factor number is the GCF number.
So the greatest common factor 2382 and 2402 is 2.

Also check out the Least Common Multiple of 2382 and 2402