What is the Greatest Common Factor of 45840 and 45858?

Greatest common factor (GCF) of 45840 and 45858 is 6.

GCF(45840,45858) = 6

We will now calculate the prime factors of 45840 and 45858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45840 and 45858.

How to find the GCF of 45840 and 45858?

We will first find the prime factorization of 45840 and 45858. After we will calculate the factors of 45840 and 45858 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 45858

Prime factors of 45858 are 2, 3, 7643. Prime factorization of 45858 in exponential form is:

45858 = 2¹ × 3¹ × 7643¹

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 45858

List of positive integer factors of 45858 that divides 45840 without a remainder.

1, 2, 3, 6, 7643, 15286, 22929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45840 and 45858. The biggest common factor number is the GCF number.
So the greatest common factor 45840 and 45858 is 6.

Also check out the Least Common Multiple of 45840 and 45858