What is the Greatest Common Factor of 57255 and 57270?

Greatest common factor (GCF) of 57255 and 57270 is 15.

GCF(57255,57270) = 15

We will now calculate the prime factors of 57255 and 57270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57255 and 57270.

How to find the GCF of 57255 and 57270?

We will first find the prime factorization of 57255 and 57270. After we will calculate the factors of 57255 and 57270 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 57270

Prime factors of 57270 are 2, 3, 5, 23, 83. Prime factorization of 57270 in exponential form is:

57270 = 2¹ × 3¹ × 5¹ × 23¹ × 83¹

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 57270

List of positive integer factors of 57270 that divides 57255 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 83, 115, 138, 166, 230, 249, 345, 415, 498, 690, 830, 1245, 1909, 2490, 3818, 5727, 9545, 11454, 19090, 28635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57255 and 57270. The biggest common factor number is the GCF number.
So the greatest common factor 57255 and 57270 is 15.

Also check out the Least Common Multiple of 57255 and 57270