What is the Greatest Common Factor of 55322 and 55335?

Greatest common factor (GCF) of 55322 and 55335 is 1.

GCF(55322,55335) = 1

We will now calculate the prime factors of 55322 and 55335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55322 and 55335.

How to find the GCF of 55322 and 55335?

We will first find the prime factorization of 55322 and 55335. After we will calculate the factors of 55322 and 55335 and find the biggest common factor number .

Step-1: Prime Factorization of 55322

Prime factors of 55322 are 2, 139, 199. Prime factorization of 55322 in exponential form is:

55322 = 2¹ × 139¹ × 199¹

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 55322

List of positive integer factors of 55322 that divides 55322 without a remainder.

1, 2, 139, 199, 278, 398, 27661

Step-4: Factors of 55335

List of positive integer factors of 55335 that divides 55322 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 55322 and 55335. The biggest common factor number is the GCF number.
So the greatest common factor 55322 and 55335 is 1.

Also check out the Least Common Multiple of 55322 and 55335