What is the Greatest Common Factor of 55335 and 55355?

Greatest common factor (GCF) of 55335 and 55355 is 5.

GCF(55335,55355) = 5

We will now calculate the prime factors of 55335 and 55355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55335 and 55355.

How to find the GCF of 55335 and 55355?

We will first find the prime factorization of 55335 and 55355. After we will calculate the factors of 55335 and 55355 and find the biggest common factor number .

Step-1: Prime Factorization of 55335

Prime factors of 55335 are 3, 5, 7, 17, 31. Prime factorization of 55335 in exponential form is:

55335 = 3¹ × 5¹ × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 55355

Prime factors of 55355 are 5, 11071. Prime factorization of 55355 in exponential form is:

55355 = 5¹ × 11071¹

Step-3: Factors of 55335

List of positive integer factors of 55335 that divides 55335 without a remainder.

1, 3, 5, 7, 15, 17, 21, 31, 35, 51, 85, 93, 105, 119, 155, 217, 255, 357, 465, 527, 595, 651, 1085, 1581, 1785, 2635, 3255, 3689, 7905, 11067, 18445

Step-4: Factors of 55355

List of positive integer factors of 55355 that divides 55335 without a remainder.

1, 5, 11071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55335 and 55355. The biggest common factor number is the GCF number.
So the greatest common factor 55335 and 55355 is 5.

Also check out the Least Common Multiple of 55335 and 55355