What is the Greatest Common Factor of 67256 and 67270?

Greatest common factor (GCF) of 67256 and 67270 is 14.

GCF(67256,67270) = 14

We will now calculate the prime factors of 67256 and 67270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67256 and 67270.

How to find the GCF of 67256 and 67270?

We will first find the prime factorization of 67256 and 67270. After we will calculate the factors of 67256 and 67270 and find the biggest common factor number .

Step-1: Prime Factorization of 67256

Prime factors of 67256 are 2, 7, 1201. Prime factorization of 67256 in exponential form is:

67256 = 2³ × 7¹ × 1201¹

Step-2: Prime Factorization of 67270

Prime factors of 67270 are 2, 5, 7, 31. Prime factorization of 67270 in exponential form is:

67270 = 2¹ × 5¹ × 7¹ × 31²

Step-3: Factors of 67256

List of positive integer factors of 67256 that divides 67256 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1201, 2402, 4804, 8407, 9608, 16814, 33628

Step-4: Factors of 67270

List of positive integer factors of 67270 that divides 67256 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 961, 1085, 1922, 2170, 4805, 6727, 9610, 13454, 33635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67256 and 67270. The biggest common factor number is the GCF number.
So the greatest common factor 67256 and 67270 is 14.

Also check out the Least Common Multiple of 67256 and 67270