What is the Greatest Common Factor of 57255 and 57266?

Greatest common factor (GCF) of 57255 and 57266 is 11.

GCF(57255,57266) = 11

We will now calculate the prime factors of 57255 and 57266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57255 and 57266.

How to find the GCF of 57255 and 57266?

We will first find the prime factorization of 57255 and 57266. After we will calculate the factors of 57255 and 57266 and find the biggest common factor number .

Step-1: Prime Factorization of 57255

Prime factors of 57255 are 3, 5, 11, 347. Prime factorization of 57255 in exponential form is:

57255 = 3¹ × 5¹ × 11¹ × 347¹

Step-2: Prime Factorization of 57266

Prime factors of 57266 are 2, 11, 19, 137. Prime factorization of 57266 in exponential form is:

57266 = 2¹ × 11¹ × 19¹ × 137¹

Step-3: Factors of 57255

List of positive integer factors of 57255 that divides 57255 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 347, 1041, 1735, 3817, 5205, 11451, 19085

Step-4: Factors of 57266

List of positive integer factors of 57266 that divides 57255 without a remainder.

1, 2, 11, 19, 22, 38, 137, 209, 274, 418, 1507, 2603, 3014, 5206, 28633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57255 and 57266. The biggest common factor number is the GCF number.
So the greatest common factor 57255 and 57266 is 11.

Also check out the Least Common Multiple of 57255 and 57266