What is the Greatest Common Factor of 45674 and 45678?

Greatest common factor (GCF) of 45674 and 45678 is 2.

GCF(45674,45678) = 2

We will now calculate the prime factors of 45674 and 45678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45674 and 45678.

How to find the GCF of 45674 and 45678?

We will first find the prime factorization of 45674 and 45678. After we will calculate the factors of 45674 and 45678 and find the biggest common factor number .

Step-1: Prime Factorization of 45674

Prime factors of 45674 are 2, 41, 557. Prime factorization of 45674 in exponential form is:

45674 = 2¹ × 41¹ × 557¹

Step-2: Prime Factorization of 45678

Prime factors of 45678 are 2, 3, 23, 331. Prime factorization of 45678 in exponential form is:

45678 = 2¹ × 3¹ × 23¹ × 331¹

Step-3: Factors of 45674

List of positive integer factors of 45674 that divides 45674 without a remainder.

1, 2, 41, 82, 557, 1114, 22837

Step-4: Factors of 45678

List of positive integer factors of 45678 that divides 45674 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 331, 662, 993, 1986, 7613, 15226, 22839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45674 and 45678. The biggest common factor number is the GCF number.
So the greatest common factor 45674 and 45678 is 2.

Also check out the Least Common Multiple of 45674 and 45678