What is the Greatest Common Factor of 55276 and 55289?

Greatest common factor (GCF) of 55276 and 55289 is 13.

GCF(55276,55289) = 13

We will now calculate the prime factors of 55276 and 55289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55276 and 55289.

How to find the GCF of 55276 and 55289?

We will first find the prime factorization of 55276 and 55289. After we will calculate the factors of 55276 and 55289 and find the biggest common factor number .

Step-1: Prime Factorization of 55276

Prime factors of 55276 are 2, 13, 1063. Prime factorization of 55276 in exponential form is:

55276 = 2² × 13¹ × 1063¹

Step-2: Prime Factorization of 55289

Prime factors of 55289 are 13, 4253. Prime factorization of 55289 in exponential form is:

55289 = 13¹ × 4253¹

Step-3: Factors of 55276

List of positive integer factors of 55276 that divides 55276 without a remainder.

1, 2, 4, 13, 26, 52, 1063, 2126, 4252, 13819, 27638

Step-4: Factors of 55289

List of positive integer factors of 55289 that divides 55276 without a remainder.

1, 13, 4253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55276 and 55289. The biggest common factor number is the GCF number.
So the greatest common factor 55276 and 55289 is 13.

Also check out the Least Common Multiple of 55276 and 55289