What is the Greatest Common Factor of 45840 and 45860?

Greatest common factor (GCF) of 45840 and 45860 is 20.

GCF(45840,45860) = 20

We will now calculate the prime factors of 45840 and 45860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45840 and 45860.

How to find the GCF of 45840 and 45860?

We will first find the prime factorization of 45840 and 45860. After we will calculate the factors of 45840 and 45860 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 45860

Prime factors of 45860 are 2, 5, 2293. Prime factorization of 45860 in exponential form is:

45860 = 2² × 5¹ × 2293¹

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 45860

List of positive integer factors of 45860 that divides 45840 without a remainder.

1, 2, 4, 5, 10, 20, 2293, 4586, 9172, 11465, 22930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45840 and 45860. The biggest common factor number is the GCF number.
So the greatest common factor 45840 and 45860 is 20.

Also check out the Least Common Multiple of 45840 and 45860