What is the Greatest Common Factor of 45574 and 45582?

Greatest common factor (GCF) of 45574 and 45582 is 2.

GCF(45574,45582) = 2

We will now calculate the prime factors of 45574 and 45582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45574 and 45582.

How to find the GCF of 45574 and 45582?

We will first find the prime factorization of 45574 and 45582. After we will calculate the factors of 45574 and 45582 and find the biggest common factor number .

Step-1: Prime Factorization of 45574

Prime factors of 45574 are 2, 22787. Prime factorization of 45574 in exponential form is:

45574 = 2¹ × 22787¹

Step-2: Prime Factorization of 45582

Prime factors of 45582 are 2, 3, 71, 107. Prime factorization of 45582 in exponential form is:

45582 = 2¹ × 3¹ × 71¹ × 107¹

Step-3: Factors of 45574

List of positive integer factors of 45574 that divides 45574 without a remainder.

1, 2, 22787

Step-4: Factors of 45582

List of positive integer factors of 45582 that divides 45574 without a remainder.

1, 2, 3, 6, 71, 107, 142, 213, 214, 321, 426, 642, 7597, 15194, 22791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45574 and 45582. The biggest common factor number is the GCF number.
So the greatest common factor 45574 and 45582 is 2.

Also check out the Least Common Multiple of 45574 and 45582