What is the Greatest Common Factor of 66255 and 66270?

Greatest common factor (GCF) of 66255 and 66270 is 15.

GCF(66255,66270) = 15

We will now calculate the prime factors of 66255 and 66270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66255 and 66270.

How to find the GCF of 66255 and 66270?

We will first find the prime factorization of 66255 and 66270. After we will calculate the factors of 66255 and 66270 and find the biggest common factor number .

Step-1: Prime Factorization of 66255

Prime factors of 66255 are 3, 5, 7, 631. Prime factorization of 66255 in exponential form is:

66255 = 3¹ × 5¹ × 7¹ × 631¹

Step-2: Prime Factorization of 66270

Prime factors of 66270 are 2, 3, 5, 47. Prime factorization of 66270 in exponential form is:

66270 = 2¹ × 3¹ × 5¹ × 47²

Step-3: Factors of 66255

List of positive integer factors of 66255 that divides 66255 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 631, 1893, 3155, 4417, 9465, 13251, 22085

Step-4: Factors of 66270

List of positive integer factors of 66270 that divides 66255 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 47, 94, 141, 235, 282, 470, 705, 1410, 2209, 4418, 6627, 11045, 13254, 22090, 33135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66255 and 66270. The biggest common factor number is the GCF number.
So the greatest common factor 66255 and 66270 is 15.

Also check out the Least Common Multiple of 66255 and 66270