What is the Greatest Common Factor of 67792 and 67812?

Greatest common factor (GCF) of 67792 and 67812 is 4.

GCF(67792,67812) = 4

We will now calculate the prime factors of 67792 and 67812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67792 and 67812.

How to find the GCF of 67792 and 67812?

We will first find the prime factorization of 67792 and 67812. After we will calculate the factors of 67792 and 67812 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 67812

Prime factors of 67812 are 2, 3, 5651. Prime factorization of 67812 in exponential form is:

67812 = 2² × 3¹ × 5651¹

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 67812

List of positive integer factors of 67812 that divides 67792 without a remainder.

1, 2, 3, 4, 6, 12, 5651, 11302, 16953, 22604, 33906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67792 and 67812. The biggest common factor number is the GCF number.
So the greatest common factor 67792 and 67812 is 4.

Also check out the Least Common Multiple of 67792 and 67812