What is the Greatest Common Factor of 45609 and 45628?

Greatest common factor (GCF) of 45609 and 45628 is 1.

GCF(45609,45628) = 1

We will now calculate the prime factors of 45609 and 45628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45609 and 45628.

How to find the GCF of 45609 and 45628?

We will first find the prime factorization of 45609 and 45628. After we will calculate the factors of 45609 and 45628 and find the biggest common factor number .

Step-1: Prime Factorization of 45609

Prime factors of 45609 are 3, 23, 661. Prime factorization of 45609 in exponential form is:

45609 = 3¹ × 23¹ × 661¹

Step-2: Prime Factorization of 45628

Prime factors of 45628 are 2, 11, 17, 61. Prime factorization of 45628 in exponential form is:

45628 = 2² × 11¹ × 17¹ × 61¹

Step-3: Factors of 45609

List of positive integer factors of 45609 that divides 45609 without a remainder.

1, 3, 23, 69, 661, 1983, 15203

Step-4: Factors of 45628

List of positive integer factors of 45628 that divides 45609 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 61, 68, 122, 187, 244, 374, 671, 748, 1037, 1342, 2074, 2684, 4148, 11407, 22814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45609 and 45628. The biggest common factor number is the GCF number.
So the greatest common factor 45609 and 45628 is 1.

Also check out the Least Common Multiple of 45609 and 45628