What is the Greatest Common Factor of 45825 and 45839?

Greatest common factor (GCF) of 45825 and 45839 is 1.

GCF(45825,45839) = 1

We will now calculate the prime factors of 45825 and 45839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45825 and 45839.

How to find the GCF of 45825 and 45839?

We will first find the prime factorization of 45825 and 45839. After we will calculate the factors of 45825 and 45839 and find the biggest common factor number .

Step-1: Prime Factorization of 45825

Prime factors of 45825 are 3, 5, 13, 47. Prime factorization of 45825 in exponential form is:

45825 = 3¹ × 5² × 13¹ × 47¹

Step-2: Prime Factorization of 45839

Prime factors of 45839 are 23, 1993. Prime factorization of 45839 in exponential form is:

45839 = 23¹ × 1993¹

Step-3: Factors of 45825

List of positive integer factors of 45825 that divides 45825 without a remainder.

1, 3, 5, 13, 15, 25, 39, 47, 65, 75, 141, 195, 235, 325, 611, 705, 975, 1175, 1833, 3055, 3525, 9165, 15275

Step-4: Factors of 45839

List of positive integer factors of 45839 that divides 45825 without a remainder.

1, 23, 1993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45825 and 45839. The biggest common factor number is the GCF number.
So the greatest common factor 45825 and 45839 is 1.

Also check out the Least Common Multiple of 45825 and 45839