What is the Greatest Common Factor of 67232 and 67243?

Greatest common factor (GCF) of 67232 and 67243 is 11.

GCF(67232,67243) = 11

We will now calculate the prime factors of 67232 and 67243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67232 and 67243.

How to find the GCF of 67232 and 67243?

We will first find the prime factorization of 67232 and 67243. After we will calculate the factors of 67232 and 67243 and find the biggest common factor number .

Step-1: Prime Factorization of 67232

Prime factors of 67232 are 2, 11, 191. Prime factorization of 67232 in exponential form is:

67232 = 2⁵ × 11¹ × 191¹

Step-2: Prime Factorization of 67243

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

67243 = 11¹ × 6113¹

Step-3: Factors of 67232

List of positive integer factors of 67232 that divides 67232 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 191, 352, 382, 764, 1528, 2101, 3056, 4202, 6112, 8404, 16808, 33616

Step-4: Factors of 67243

List of positive integer factors of 67243 that divides 67232 without a remainder.

1, 11, 6113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67232 and 67243. The biggest common factor number is the GCF number.
So the greatest common factor 67232 and 67243 is 11.

Also check out the Least Common Multiple of 67232 and 67243