GCF and LCM Calculator Logo

What is the Greatest Common Factor of 45898 and 45908?

Greatest common factor (GCF) of 45898 and 45908 is 2.

GCF(45898,45908) = 2

We will now calculate the prime factors of 45898 and 45908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45898 and 45908.

GCF Calculator and
and

How to find the GCF of 45898 and 45908?

We will first find the prime factorization of 45898 and 45908. After we will calculate the factors of 45898 and 45908 and find the biggest common factor number .

Step-1: Prime Factorization of 45898

Prime factors of 45898 are 2, 53, 433. Prime factorization of 45898 in exponential form is:

45898 = 21 × 531 × 4331

Step-2: 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-3: Factors of 45898

List of positive integer factors of 45898 that divides 45898 without a remainder.

1, 2, 53, 106, 433, 866, 22949

Step-4: Factors of 45908

List of positive integer factors of 45908 that divides 45898 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45898 and 45908. The biggest common factor number is the GCF number.
So the greatest common factor 45898 and 45908 is 2.

Also check out the Least Common Multiple of 45898 and 45908