What is the Greatest Common Factor of 67908 and 67919?

Greatest common factor (GCF) of 67908 and 67919 is 1.

GCF(67908,67919) = 1

We will now calculate the prime factors of 67908 and 67919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67908 and 67919.

How to find the GCF of 67908 and 67919?

We will first find the prime factorization of 67908 and 67919. After we will calculate the factors of 67908 and 67919 and find the biggest common factor number .

Step-1: Prime Factorization of 67908

Prime factors of 67908 are 2, 3, 5659. Prime factorization of 67908 in exponential form is:

67908 = 2² × 3¹ × 5659¹

Step-2: Prime Factorization of 67919

Prime factors of 67919 are 23, 2953. Prime factorization of 67919 in exponential form is:

67919 = 23¹ × 2953¹

Step-3: Factors of 67908

List of positive integer factors of 67908 that divides 67908 without a remainder.

1, 2, 3, 4, 6, 12, 5659, 11318, 16977, 22636, 33954

Step-4: Factors of 67919

List of positive integer factors of 67919 that divides 67908 without a remainder.

1, 23, 2953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67908 and 67919. The biggest common factor number is the GCF number.
So the greatest common factor 67908 and 67919 is 1.

Also check out the Least Common Multiple of 67908 and 67919