What is the Greatest Common Factor of 45462 and 45478?

Greatest common factor (GCF) of 45462 and 45478 is 2.

GCF(45462,45478) = 2

We will now calculate the prime factors of 45462 and 45478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45462 and 45478.

How to find the GCF of 45462 and 45478?

We will first find the prime factorization of 45462 and 45478. After we will calculate the factors of 45462 and 45478 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 45478

Prime factors of 45478 are 2, 22739. Prime factorization of 45478 in exponential form is:

45478 = 2¹ × 22739¹

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 45478

List of positive integer factors of 45478 that divides 45462 without a remainder.

1, 2, 22739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45462 and 45478. The biggest common factor number is the GCF number.
So the greatest common factor 45462 and 45478 is 2.

Also check out the Least Common Multiple of 45462 and 45478