What is the Greatest Common Factor of 45374 and 45378?

Greatest common factor (GCF) of 45374 and 45378 is 2.

GCF(45374,45378) = 2

We will now calculate the prime factors of 45374 and 45378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45374 and 45378.

How to find the GCF of 45374 and 45378?

We will first find the prime factorization of 45374 and 45378. After we will calculate the factors of 45374 and 45378 and find the biggest common factor number .

Step-1: Prime Factorization of 45374

Prime factors of 45374 are 2, 7, 463. Prime factorization of 45374 in exponential form is:

45374 = 2¹ × 7² × 463¹

Step-2: Prime Factorization of 45378

Prime factors of 45378 are 2, 3, 2521. Prime factorization of 45378 in exponential form is:

45378 = 2¹ × 3² × 2521¹

Step-3: Factors of 45374

List of positive integer factors of 45374 that divides 45374 without a remainder.

1, 2, 7, 14, 49, 98, 463, 926, 3241, 6482, 22687

Step-4: Factors of 45378

List of positive integer factors of 45378 that divides 45374 without a remainder.

1, 2, 3, 6, 9, 18, 2521, 5042, 7563, 15126, 22689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45374 and 45378. The biggest common factor number is the GCF number.
So the greatest common factor 45374 and 45378 is 2.

Also check out the Least Common Multiple of 45374 and 45378