What is the Greatest Common Factor of 60256 and 60270?

Greatest common factor (GCF) of 60256 and 60270 is 14.

GCF(60256,60270) = 14

We will now calculate the prime factors of 60256 and 60270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60256 and 60270.

How to find the GCF of 60256 and 60270?

We will first find the prime factorization of 60256 and 60270. After we will calculate the factors of 60256 and 60270 and find the biggest common factor number .

Step-1: Prime Factorization of 60256

Prime factors of 60256 are 2, 7, 269. Prime factorization of 60256 in exponential form is:

60256 = 2⁵ × 7¹ × 269¹

Step-2: Prime Factorization of 60270

Prime factors of 60270 are 2, 3, 5, 7, 41. Prime factorization of 60270 in exponential form is:

60270 = 2¹ × 3¹ × 5¹ × 7² × 41¹

Step-3: Factors of 60256

List of positive integer factors of 60256 that divides 60256 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 269, 538, 1076, 1883, 2152, 3766, 4304, 7532, 8608, 15064, 30128

Step-4: Factors of 60270

List of positive integer factors of 60270 that divides 60256 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 49, 70, 82, 98, 105, 123, 147, 205, 210, 245, 246, 287, 294, 410, 490, 574, 615, 735, 861, 1230, 1435, 1470, 1722, 2009, 2870, 4018, 4305, 6027, 8610, 10045, 12054, 20090, 30135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60256 and 60270. The biggest common factor number is the GCF number.
So the greatest common factor 60256 and 60270 is 14.

Also check out the Least Common Multiple of 60256 and 60270