What is the Greatest Common Factor of 45840 and 45852?

Greatest common factor (GCF) of 45840 and 45852 is 12.

GCF(45840,45852) = 12

We will now calculate the prime factors of 45840 and 45852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45840 and 45852.

How to find the GCF of 45840 and 45852?

We will first find the prime factorization of 45840 and 45852. After we will calculate the factors of 45840 and 45852 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 45852

Prime factors of 45852 are 2, 3, 3821. Prime factorization of 45852 in exponential form is:

45852 = 2² × 3¹ × 3821¹

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 45852

List of positive integer factors of 45852 that divides 45840 without a remainder.

1, 2, 3, 4, 6, 12, 3821, 7642, 11463, 15284, 22926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45840 and 45852. The biggest common factor number is the GCF number.
So the greatest common factor 45840 and 45852 is 12.

Also check out the Least Common Multiple of 45840 and 45852