What is the Greatest Common Factor of 55325 and 55335?

Greatest common factor (GCF) of 55325 and 55335 is 5.

GCF(55325,55335) = 5

We will now calculate the prime factors of 55325 and 55335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55325 and 55335.

How to find the GCF of 55325 and 55335?

We will first find the prime factorization of 55325 and 55335. After we will calculate the factors of 55325 and 55335 and find the biggest common factor number .

Step-1: Prime Factorization of 55325

Prime factors of 55325 are 5, 2213. Prime factorization of 55325 in exponential form is:

55325 = 5² × 2213¹

Step-2: 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-3: Factors of 55325

List of positive integer factors of 55325 that divides 55325 without a remainder.

1, 5, 25, 2213, 11065

Step-4: Factors of 55335

List of positive integer factors of 55335 that divides 55325 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55325 and 55335. The biggest common factor number is the GCF number.
So the greatest common factor 55325 and 55335 is 5.

Also check out the Least Common Multiple of 55325 and 55335