What is the Greatest Common Factor of 45908 and 45919?

Greatest common factor (GCF) of 45908 and 45919 is 1.

GCF(45908,45919) = 1

We will now calculate the prime factors of 45908 and 45919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45908 and 45919.

How to find the GCF of 45908 and 45919?

We will first find the prime factorization of 45908 and 45919. After we will calculate the factors of 45908 and 45919 and find the biggest common factor number .

Step-1: Prime Factorization of 45908

Prime factors of 45908 are 2, 23, 499. Prime factorization of 45908 in exponential form is:

45908 = 2² × 23¹ × 499¹

Step-2: Prime Factorization of 45919

Prime factors of 45919 are 47, 977. Prime factorization of 45919 in exponential form is:

45919 = 47¹ × 977¹

Step-3: Factors of 45908

List of positive integer factors of 45908 that divides 45908 without a remainder.

1, 2, 4, 23, 46, 92, 499, 998, 1996, 11477, 22954

Step-4: Factors of 45919

List of positive integer factors of 45919 that divides 45908 without a remainder.

1, 47, 977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45908 and 45919. The biggest common factor number is the GCF number.
So the greatest common factor 45908 and 45919 is 1.

Also check out the Least Common Multiple of 45908 and 45919