What is the Greatest Common Factor of 55696 and 55706?

Greatest common factor (GCF) of 55696 and 55706 is 2.

GCF(55696,55706) = 2

We will now calculate the prime factors of 55696 and 55706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55696 and 55706.

How to find the GCF of 55696 and 55706?

We will first find the prime factorization of 55696 and 55706. After we will calculate the factors of 55696 and 55706 and find the biggest common factor number .

Step-1: Prime Factorization of 55696

Prime factors of 55696 are 2, 59. Prime factorization of 55696 in exponential form is:

55696 = 2⁴ × 59²

Step-2: Prime Factorization of 55706

Prime factors of 55706 are 2, 7, 23, 173. Prime factorization of 55706 in exponential form is:

55706 = 2¹ × 7¹ × 23¹ × 173¹

Step-3: Factors of 55696

List of positive integer factors of 55696 that divides 55696 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944, 3481, 6962, 13924, 27848

Step-4: Factors of 55706

List of positive integer factors of 55706 that divides 55696 without a remainder.

1, 2, 7, 14, 23, 46, 161, 173, 322, 346, 1211, 2422, 3979, 7958, 27853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55696 and 55706. The biggest common factor number is the GCF number.
So the greatest common factor 55696 and 55706 is 2.

Also check out the Least Common Multiple of 55696 and 55706