What is the Greatest Common Factor of 55734 and 55740?

Greatest common factor (GCF) of 55734 and 55740 is 6.

GCF(55734,55740) = 6

We will now calculate the prime factors of 55734 and 55740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55734 and 55740.

How to find the GCF of 55734 and 55740?

We will first find the prime factorization of 55734 and 55740. After we will calculate the factors of 55734 and 55740 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55740

Prime factors of 55740 are 2, 3, 5, 929. Prime factorization of 55740 in exponential form is:

55740 = 2² × 3¹ × 5¹ × 929¹

Step-3: Factors of 55734

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

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

Step-4: Factors of 55740

List of positive integer factors of 55740 that divides 55734 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 929, 1858, 2787, 3716, 4645, 5574, 9290, 11148, 13935, 18580, 27870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55734 and 55740. The biggest common factor number is the GCF number.
So the greatest common factor 55734 and 55740 is 6.

Also check out the Least Common Multiple of 55734 and 55740