What is the Greatest Common Factor of 55706 and 55720?

Greatest common factor (GCF) of 55706 and 55720 is 14.

GCF(55706,55720) = 14

We will now calculate the prime factors of 55706 and 55720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55706 and 55720.

How to find the GCF of 55706 and 55720?

We will first find the prime factorization of 55706 and 55720. After we will calculate the factors of 55706 and 55720 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55720

Prime factors of 55720 are 2, 5, 7, 199. Prime factorization of 55720 in exponential form is:

55720 = 2³ × 5¹ × 7¹ × 199¹

Step-3: Factors of 55706

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

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

Step-4: Factors of 55720

List of positive integer factors of 55720 that divides 55706 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 199, 280, 398, 796, 995, 1393, 1592, 1990, 2786, 3980, 5572, 6965, 7960, 11144, 13930, 27860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55706 and 55720. The biggest common factor number is the GCF number.
So the greatest common factor 55706 and 55720 is 14.

Also check out the Least Common Multiple of 55706 and 55720