What is the Greatest Common Factor of 55715 and 55734?

Greatest common factor (GCF) of 55715 and 55734 is 1.

GCF(55715,55734) = 1

We will now calculate the prime factors of 55715 and 55734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55715 and 55734.

How to find the GCF of 55715 and 55734?

We will first find the prime factorization of 55715 and 55734. After we will calculate the factors of 55715 and 55734 and find the biggest common factor number .

Step-1: Prime Factorization of 55715

Prime factors of 55715 are 5, 11, 1013. Prime factorization of 55715 in exponential form is:

55715 = 5¹ × 11¹ × 1013¹

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 55715

List of positive integer factors of 55715 that divides 55715 without a remainder.

1, 5, 11, 55, 1013, 5065, 11143

Step-4: Factors of 55734

List of positive integer factors of 55734 that divides 55715 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 55715 and 55734. The biggest common factor number is the GCF number.
So the greatest common factor 55715 and 55734 is 1.

Also check out the Least Common Multiple of 55715 and 55734