What is the Greatest Common Factor of 67243 and 67256?

Greatest common factor (GCF) of 67243 and 67256 is 1.

GCF(67243,67256) = 1

We will now calculate the prime factors of 67243 and 67256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67243 and 67256.

How to find the GCF of 67243 and 67256?

We will first find the prime factorization of 67243 and 67256. After we will calculate the factors of 67243 and 67256 and find the biggest common factor number .

Step-1: Prime Factorization of 67243

Prime factors of 67243 are 11, 6113. Prime factorization of 67243 in exponential form is:

67243 = 11¹ × 6113¹

Step-2: 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-3: Factors of 67243

List of positive integer factors of 67243 that divides 67243 without a remainder.

1, 11, 6113

Step-4: Factors of 67256

List of positive integer factors of 67256 that divides 67243 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67243 and 67256. The biggest common factor number is the GCF number.
So the greatest common factor 67243 and 67256 is 1.

Also check out the Least Common Multiple of 67243 and 67256