What is the Greatest Common Factor of 45834 and 45838?

Greatest common factor (GCF) of 45834 and 45838 is 2.

GCF(45834,45838) = 2

We will now calculate the prime factors of 45834 and 45838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45834 and 45838.

How to find the GCF of 45834 and 45838?

We will first find the prime factorization of 45834 and 45838. After we will calculate the factors of 45834 and 45838 and find the biggest common factor number .

Step-1: Prime Factorization of 45834

Prime factors of 45834 are 2, 3, 7639. Prime factorization of 45834 in exponential form is:

45834 = 2¹ × 3¹ × 7639¹

Step-2: Prime Factorization of 45838

Prime factors of 45838 are 2, 13, 41, 43. Prime factorization of 45838 in exponential form is:

45838 = 2¹ × 13¹ × 41¹ × 43¹

Step-3: Factors of 45834

List of positive integer factors of 45834 that divides 45834 without a remainder.

1, 2, 3, 6, 7639, 15278, 22917

Step-4: Factors of 45838

List of positive integer factors of 45838 that divides 45834 without a remainder.

1, 2, 13, 26, 41, 43, 82, 86, 533, 559, 1066, 1118, 1763, 3526, 22919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45834 and 45838. The biggest common factor number is the GCF number.
So the greatest common factor 45834 and 45838 is 2.

Also check out the Least Common Multiple of 45834 and 45838