What is the Greatest Common Factor of 45840 and 45844?

Greatest common factor (GCF) of 45840 and 45844 is 4.

GCF(45840,45844) = 4

We will now calculate the prime factors of 45840 and 45844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45840 and 45844.

How to find the GCF of 45840 and 45844?

We will first find the prime factorization of 45840 and 45844. After we will calculate the factors of 45840 and 45844 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 45844

Prime factors of 45844 are 2, 73, 157. Prime factorization of 45844 in exponential form is:

45844 = 2² × 73¹ × 157¹

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 45844

List of positive integer factors of 45844 that divides 45840 without a remainder.

1, 2, 4, 73, 146, 157, 292, 314, 628, 11461, 22922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45840 and 45844. The biggest common factor number is the GCF number.
So the greatest common factor 45840 and 45844 is 4.

Also check out the Least Common Multiple of 45840 and 45844