What is the Greatest Common Factor of 45304 and 45316?

Greatest common factor (GCF) of 45304 and 45316 is 4.

GCF(45304,45316) = 4

We will now calculate the prime factors of 45304 and 45316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45304 and 45316.

How to find the GCF of 45304 and 45316?

We will first find the prime factorization of 45304 and 45316. After we will calculate the factors of 45304 and 45316 and find the biggest common factor number .

Step-1: Prime Factorization of 45304

Prime factors of 45304 are 2, 7, 809. Prime factorization of 45304 in exponential form is:

45304 = 2³ × 7¹ × 809¹

Step-2: Prime Factorization of 45316

Prime factors of 45316 are 2, 11329. Prime factorization of 45316 in exponential form is:

45316 = 2² × 11329¹

Step-3: Factors of 45304

List of positive integer factors of 45304 that divides 45304 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 809, 1618, 3236, 5663, 6472, 11326, 22652

Step-4: Factors of 45316

List of positive integer factors of 45316 that divides 45304 without a remainder.

1, 2, 4, 11329, 22658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45304 and 45316. The biggest common factor number is the GCF number.
So the greatest common factor 45304 and 45316 is 4.

Also check out the Least Common Multiple of 45304 and 45316