What is the Greatest Common Factor of 45808 and 45814?

Greatest common factor (GCF) of 45808 and 45814 is 2.

GCF(45808,45814) = 2

We will now calculate the prime factors of 45808 and 45814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45808 and 45814.

How to find the GCF of 45808 and 45814?

We will first find the prime factorization of 45808 and 45814. After we will calculate the factors of 45808 and 45814 and find the biggest common factor number .

Step-1: Prime Factorization of 45808

Prime factors of 45808 are 2, 7, 409. Prime factorization of 45808 in exponential form is:

45808 = 2⁴ × 7¹ × 409¹

Step-2: Prime Factorization of 45814

Prime factors of 45814 are 2, 22907. Prime factorization of 45814 in exponential form is:

45814 = 2¹ × 22907¹

Step-3: Factors of 45808

List of positive integer factors of 45808 that divides 45808 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 409, 818, 1636, 2863, 3272, 5726, 6544, 11452, 22904

Step-4: Factors of 45814

List of positive integer factors of 45814 that divides 45808 without a remainder.

1, 2, 22907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45808 and 45814. The biggest common factor number is the GCF number.
So the greatest common factor 45808 and 45814 is 2.

Also check out the Least Common Multiple of 45808 and 45814