What is the Greatest Common Factor of 67799 and 67808?

Greatest common factor (GCF) of 67799 and 67808 is 1.

GCF(67799,67808) = 1

We will now calculate the prime factors of 67799 and 67808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67799 and 67808.

How to find the GCF of 67799 and 67808?

We will first find the prime factorization of 67799 and 67808. After we will calculate the factors of 67799 and 67808 and find the biggest common factor number .

Step-1: Prime Factorization of 67799

Prime factors of 67799 are 151, 449. Prime factorization of 67799 in exponential form is:

67799 = 151¹ × 449¹

Step-2: Prime Factorization of 67808

Prime factors of 67808 are 2, 13, 163. Prime factorization of 67808 in exponential form is:

67808 = 2⁵ × 13¹ × 163¹

Step-3: Factors of 67799

List of positive integer factors of 67799 that divides 67799 without a remainder.

1, 151, 449

Step-4: Factors of 67808

List of positive integer factors of 67808 that divides 67799 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 163, 208, 326, 416, 652, 1304, 2119, 2608, 4238, 5216, 8476, 16952, 33904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67799 and 67808. The biggest common factor number is the GCF number.
So the greatest common factor 67799 and 67808 is 1.

Also check out the Least Common Multiple of 67799 and 67808