What is the Greatest Common Factor of 45462 and 45473?

Greatest common factor (GCF) of 45462 and 45473 is 1.

GCF(45462,45473) = 1

We will now calculate the prime factors of 45462 and 45473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45462 and 45473.

How to find the GCF of 45462 and 45473?

We will first find the prime factorization of 45462 and 45473. After we will calculate the factors of 45462 and 45473 and find the biggest common factor number .

Step-1: Prime Factorization of 45462

Prime factors of 45462 are 2, 3, 7577. Prime factorization of 45462 in exponential form is:

45462 = 2¹ × 3¹ × 7577¹

Step-2: Prime Factorization of 45473

Prime factors of 45473 are 37, 1229. Prime factorization of 45473 in exponential form is:

45473 = 37¹ × 1229¹

Step-3: Factors of 45462

List of positive integer factors of 45462 that divides 45462 without a remainder.

1, 2, 3, 6, 7577, 15154, 22731

Step-4: Factors of 45473

List of positive integer factors of 45473 that divides 45462 without a remainder.

1, 37, 1229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45462 and 45473. The biggest common factor number is the GCF number.
So the greatest common factor 45462 and 45473 is 1.

Also check out the Least Common Multiple of 45462 and 45473