What is the Greatest Common Factor of 45446 and 45459?

Greatest common factor (GCF) of 45446 and 45459 is 1.

GCF(45446,45459) = 1

We will now calculate the prime factors of 45446 and 45459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45446 and 45459.

How to find the GCF of 45446 and 45459?

We will first find the prime factorization of 45446 and 45459. After we will calculate the factors of 45446 and 45459 and find the biggest common factor number .

Step-1: Prime Factorization of 45446

Prime factors of 45446 are 2, 31, 733. Prime factorization of 45446 in exponential form is:

45446 = 2¹ × 31¹ × 733¹

Step-2: Prime Factorization of 45459

Prime factors of 45459 are 3, 5051. Prime factorization of 45459 in exponential form is:

45459 = 3² × 5051¹

Step-3: Factors of 45446

List of positive integer factors of 45446 that divides 45446 without a remainder.

1, 2, 31, 62, 733, 1466, 22723

Step-4: Factors of 45459

List of positive integer factors of 45459 that divides 45446 without a remainder.

1, 3, 9, 5051, 15153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45446 and 45459. The biggest common factor number is the GCF number.
So the greatest common factor 45446 and 45459 is 1.

Also check out the Least Common Multiple of 45446 and 45459