What is the Greatest Common Factor of 55715 and 55726?

Greatest common factor (GCF) of 55715 and 55726 is 11.

GCF(55715,55726) = 11

We will now calculate the prime factors of 55715 and 55726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55715 and 55726.

How to find the GCF of 55715 and 55726?

We will first find the prime factorization of 55715 and 55726. After we will calculate the factors of 55715 and 55726 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 55726

Prime factors of 55726 are 2, 11, 17, 149. Prime factorization of 55726 in exponential form is:

55726 = 2¹ × 11¹ × 17¹ × 149¹

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 55726

List of positive integer factors of 55726 that divides 55715 without a remainder.

1, 2, 11, 17, 22, 34, 149, 187, 298, 374, 1639, 2533, 3278, 5066, 27863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55715 and 55726. The biggest common factor number is the GCF number.
So the greatest common factor 55715 and 55726 is 11.

Also check out the Least Common Multiple of 55715 and 55726