What is the Greatest Common Factor of 45825 and 45837?

Greatest common factor (GCF) of 45825 and 45837 is 3.

GCF(45825,45837) = 3

We will now calculate the prime factors of 45825 and 45837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45825 and 45837.

How to find the GCF of 45825 and 45837?

We will first find the prime factorization of 45825 and 45837. After we will calculate the factors of 45825 and 45837 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 45837

Prime factors of 45837 are 3, 11, 463. Prime factorization of 45837 in exponential form is:

45837 = 3² × 11¹ × 463¹

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 45837

List of positive integer factors of 45837 that divides 45825 without a remainder.

1, 3, 9, 11, 33, 99, 463, 1389, 4167, 5093, 15279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45825 and 45837. The biggest common factor number is the GCF number.
So the greatest common factor 45825 and 45837 is 3.

Also check out the Least Common Multiple of 45825 and 45837