What is the Greatest Common Factor of 55264 and 55275?

Greatest common factor (GCF) of 55264 and 55275 is 11.

GCF(55264,55275) = 11

We will now calculate the prime factors of 55264 and 55275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55264 and 55275.

How to find the GCF of 55264 and 55275?

We will first find the prime factorization of 55264 and 55275. After we will calculate the factors of 55264 and 55275 and find the biggest common factor number .

Step-1: Prime Factorization of 55264

Prime factors of 55264 are 2, 11, 157. Prime factorization of 55264 in exponential form is:

55264 = 2⁵ × 11¹ × 157¹

Step-2: 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-3: Factors of 55264

List of positive integer factors of 55264 that divides 55264 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 157, 176, 314, 352, 628, 1256, 1727, 2512, 3454, 5024, 6908, 13816, 27632

Step-4: Factors of 55275

List of positive integer factors of 55275 that divides 55264 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55264 and 55275. The biggest common factor number is the GCF number.
So the greatest common factor 55264 and 55275 is 11.

Also check out the Least Common Multiple of 55264 and 55275