What is the Greatest Common Factor of 55719 and 55734?

Greatest common factor (GCF) of 55719 and 55734 is 3.

GCF(55719,55734) = 3

We will now calculate the prime factors of 55719 and 55734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55719 and 55734.

How to find the GCF of 55719 and 55734?

We will first find the prime factorization of 55719 and 55734. After we will calculate the factors of 55719 and 55734 and find the biggest common factor number .

Step-1: Prime Factorization of 55719

Prime factors of 55719 are 3, 41, 151. Prime factorization of 55719 in exponential form is:

55719 = 3² × 41¹ × 151¹

Step-2: Prime Factorization of 55734

Prime factors of 55734 are 2, 3, 7, 1327. Prime factorization of 55734 in exponential form is:

55734 = 2¹ × 3¹ × 7¹ × 1327¹

Step-3: Factors of 55719

List of positive integer factors of 55719 that divides 55719 without a remainder.

1, 3, 9, 41, 123, 151, 369, 453, 1359, 6191, 18573

Step-4: Factors of 55734

List of positive integer factors of 55734 that divides 55719 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1327, 2654, 3981, 7962, 9289, 18578, 27867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55719 and 55734. The biggest common factor number is the GCF number.
So the greatest common factor 55719 and 55734 is 3.

Also check out the Least Common Multiple of 55719 and 55734