What is the Greatest Common Factor of 45838 and 45851?

Greatest common factor (GCF) of 45838 and 45851 is 13.

GCF(45838,45851) = 13

We will now calculate the prime factors of 45838 and 45851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45838 and 45851.

How to find the GCF of 45838 and 45851?

We will first find the prime factorization of 45838 and 45851. After we will calculate the factors of 45838 and 45851 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45851

Prime factors of 45851 are 13, 3527. Prime factorization of 45851 in exponential form is:

45851 = 13¹ × 3527¹

Step-3: Factors of 45838

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

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

Step-4: Factors of 45851

List of positive integer factors of 45851 that divides 45838 without a remainder.

1, 13, 3527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45838 and 45851. The biggest common factor number is the GCF number.
So the greatest common factor 45838 and 45851 is 13.

Also check out the Least Common Multiple of 45838 and 45851