What is the Greatest Common Factor of 4674 and 4682?

Greatest common factor (GCF) of 4674 and 4682 is 2.

GCF(4674,4682) = 2

We will now calculate the prime factors of 4674 and 4682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4674 and 4682.

How to find the GCF of 4674 and 4682?

We will first find the prime factorization of 4674 and 4682. After we will calculate the factors of 4674 and 4682 and find the biggest common factor number .

Step-1: Prime Factorization of 4674

Prime factors of 4674 are 2, 3, 19, 41. Prime factorization of 4674 in exponential form is:

4674 = 2¹ × 3¹ × 19¹ × 41¹

Step-2: Prime Factorization of 4682

Prime factors of 4682 are 2, 2341. Prime factorization of 4682 in exponential form is:

4682 = 2¹ × 2341¹

Step-3: Factors of 4674

List of positive integer factors of 4674 that divides 4674 without a remainder.

1, 2, 3, 6, 19, 38, 41, 57, 82, 114, 123, 246, 779, 1558, 2337

Step-4: Factors of 4682

List of positive integer factors of 4682 that divides 4674 without a remainder.

1, 2, 2341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4674 and 4682. The biggest common factor number is the GCF number.
So the greatest common factor 4674 and 4682 is 2.

Also check out the Least Common Multiple of 4674 and 4682