What is the Greatest Common Factor of 55275 and 55279?

Greatest common factor (GCF) of 55275 and 55279 is 1.

GCF(55275,55279) = 1

We will now calculate the prime factors of 55275 and 55279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55275 and 55279.

How to find the GCF of 55275 and 55279?

We will first find the prime factorization of 55275 and 55279. After we will calculate the factors of 55275 and 55279 and find the biggest common factor number .

Step-1: Prime Factorization of 55275

Prime factors of 55275 are 3, 5, 11, 67. Prime factorization of 55275 in exponential form is:

55275 = 3¹ × 5² × 11¹ × 67¹

Step-2: Prime Factorization of 55279

Prime factors of 55279 are 7, 53, 149. Prime factorization of 55279 in exponential form is:

55279 = 7¹ × 53¹ × 149¹

Step-3: Factors of 55275

List of positive integer factors of 55275 that divides 55275 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 67, 75, 165, 201, 275, 335, 737, 825, 1005, 1675, 2211, 3685, 5025, 11055, 18425

Step-4: Factors of 55279

List of positive integer factors of 55279 that divides 55275 without a remainder.

1, 7, 53, 149, 371, 1043, 7897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55275 and 55279. The biggest common factor number is the GCF number.
So the greatest common factor 55275 and 55279 is 1.

Also check out the Least Common Multiple of 55275 and 55279