What is the Greatest Common Factor of 67792 and 67807?

Greatest common factor (GCF) of 67792 and 67807 is 1.

GCF(67792,67807) = 1

We will now calculate the prime factors of 67792 and 67807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67792 and 67807.

How to find the GCF of 67792 and 67807?

We will first find the prime factorization of 67792 and 67807. After we will calculate the factors of 67792 and 67807 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 67807

Prime factors of 67807 are 67807. Prime factorization of 67807 in exponential form is:

67807 = 67807¹

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 67807

List of positive integer factors of 67807 that divides 67792 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67792 and 67807. The biggest common factor number is the GCF number.
So the greatest common factor 67792 and 67807 is 1.

Also check out the Least Common Multiple of 67792 and 67807