What is the Greatest Common Factor of 55845 and 55854?

Greatest common factor (GCF) of 55845 and 55854 is 9.

GCF(55845,55854) = 9

We will now calculate the prime factors of 55845 and 55854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55845 and 55854.

How to find the GCF of 55845 and 55854?

We will first find the prime factorization of 55845 and 55854. After we will calculate the factors of 55845 and 55854 and find the biggest common factor number .

Step-1: Prime Factorization of 55845

Prime factors of 55845 are 3, 5, 17, 73. Prime factorization of 55845 in exponential form is:

55845 = 3² × 5¹ × 17¹ × 73¹

Step-2: Prime Factorization of 55854

Prime factors of 55854 are 2, 3, 29, 107. Prime factorization of 55854 in exponential form is:

55854 = 2¹ × 3² × 29¹ × 107¹

Step-3: Factors of 55845

List of positive integer factors of 55845 that divides 55845 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 73, 85, 153, 219, 255, 365, 657, 765, 1095, 1241, 3285, 3723, 6205, 11169, 18615

Step-4: Factors of 55854

List of positive integer factors of 55854 that divides 55845 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 107, 174, 214, 261, 321, 522, 642, 963, 1926, 3103, 6206, 9309, 18618, 27927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55845 and 55854. The biggest common factor number is the GCF number.
So the greatest common factor 55845 and 55854 is 9.

Also check out the Least Common Multiple of 55845 and 55854