What is the Greatest Common Factor of 45406 and 45416?

Greatest common factor (GCF) of 45406 and 45416 is 2.

GCF(45406,45416) = 2

We will now calculate the prime factors of 45406 and 45416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45406 and 45416.

How to find the GCF of 45406 and 45416?

We will first find the prime factorization of 45406 and 45416. After we will calculate the factors of 45406 and 45416 and find the biggest common factor number .

Step-1: Prime Factorization of 45406

Prime factors of 45406 are 2, 73, 311. Prime factorization of 45406 in exponential form is:

45406 = 2¹ × 73¹ × 311¹

Step-2: Prime Factorization of 45416

Prime factors of 45416 are 2, 7, 811. Prime factorization of 45416 in exponential form is:

45416 = 2³ × 7¹ × 811¹

Step-3: Factors of 45406

List of positive integer factors of 45406 that divides 45406 without a remainder.

1, 2, 73, 146, 311, 622, 22703

Step-4: Factors of 45416

List of positive integer factors of 45416 that divides 45406 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 811, 1622, 3244, 5677, 6488, 11354, 22708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45406 and 45416. The biggest common factor number is the GCF number.
So the greatest common factor 45406 and 45416 is 2.

Also check out the Least Common Multiple of 45406 and 45416