What is the Greatest Common Factor of 45825 and 45840?

Greatest common factor (GCF) of 45825 and 45840 is 15.

GCF(45825,45840) = 15

We will now calculate the prime factors of 45825 and 45840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45825 and 45840.

How to find the GCF of 45825 and 45840?

We will first find the prime factorization of 45825 and 45840. After we will calculate the factors of 45825 and 45840 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 45840

Prime factors of 45840 are 2, 3, 5, 191. Prime factorization of 45840 in exponential form is:

45840 = 2⁴ × 3¹ × 5¹ × 191¹

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 45840

List of positive integer factors of 45840 that divides 45825 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 191, 240, 382, 573, 764, 955, 1146, 1528, 1910, 2292, 2865, 3056, 3820, 4584, 5730, 7640, 9168, 11460, 15280, 22920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45825 and 45840. The biggest common factor number is the GCF number.
So the greatest common factor 45825 and 45840 is 15.

Also check out the Least Common Multiple of 45825 and 45840