What is the Greatest Common Factor of 45462 and 45471?

Greatest common factor (GCF) of 45462 and 45471 is 3.

GCF(45462,45471) = 3

We will now calculate the prime factors of 45462 and 45471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45462 and 45471.

How to find the GCF of 45462 and 45471?

We will first find the prime factorization of 45462 and 45471. After we will calculate the factors of 45462 and 45471 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 45471

Prime factors of 45471 are 3, 23, 659. Prime factorization of 45471 in exponential form is:

45471 = 3¹ × 23¹ × 659¹

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 45471

List of positive integer factors of 45471 that divides 45462 without a remainder.

1, 3, 23, 69, 659, 1977, 15157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45462 and 45471. The biggest common factor number is the GCF number.
So the greatest common factor 45462 and 45471 is 3.

Also check out the Least Common Multiple of 45462 and 45471