What is the Greatest Common Factor of 45840 and 45855?

Greatest common factor (GCF) of 45840 and 45855 is 15.

GCF(45840,45855) = 15

We will now calculate the prime factors of 45840 and 45855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45840 and 45855.

How to find the GCF of 45840 and 45855?

We will first find the prime factorization of 45840 and 45855. After we will calculate the factors of 45840 and 45855 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45855

Prime factors of 45855 are 3, 5, 1019. Prime factorization of 45855 in exponential form is:

45855 = 3² × 5¹ × 1019¹

Step-3: Factors of 45840

List of positive integer factors of 45840 that divides 45840 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

Step-4: Factors of 45855

List of positive integer factors of 45855 that divides 45840 without a remainder.

1, 3, 5, 9, 15, 45, 1019, 3057, 5095, 9171, 15285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45840 and 45855. The biggest common factor number is the GCF number.
So the greatest common factor 45840 and 45855 is 15.

Also check out the Least Common Multiple of 45840 and 45855