What is the Greatest Common Factor of 67792 and 67806?

Greatest common factor (GCF) of 67792 and 67806 is 2.

GCF(67792,67806) = 2

We will now calculate the prime factors of 67792 and 67806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67792 and 67806.

How to find the GCF of 67792 and 67806?

We will first find the prime factorization of 67792 and 67806. After we will calculate the factors of 67792 and 67806 and find the biggest common factor number .

Step-1: Prime Factorization of 67792

Prime factors of 67792 are 2, 19, 223. Prime factorization of 67792 in exponential form is:

67792 = 2⁴ × 19¹ × 223¹

Step-2: Prime Factorization of 67806

Prime factors of 67806 are 2, 3, 3767. Prime factorization of 67806 in exponential form is:

67806 = 2¹ × 3² × 3767¹

Step-3: Factors of 67792

List of positive integer factors of 67792 that divides 67792 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 223, 304, 446, 892, 1784, 3568, 4237, 8474, 16948, 33896

Step-4: Factors of 67806

List of positive integer factors of 67806 that divides 67792 without a remainder.

1, 2, 3, 6, 9, 18, 3767, 7534, 11301, 22602, 33903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67792 and 67806. The biggest common factor number is the GCF number.
So the greatest common factor 67792 and 67806 is 2.

Also check out the Least Common Multiple of 67792 and 67806