What is the Greatest Common Factor of 67912 and 67919?

Greatest common factor (GCF) of 67912 and 67919 is 1.

GCF(67912,67919) = 1

We will now calculate the prime factors of 67912 and 67919, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67912 and 67919.

How to find the GCF of 67912 and 67919?

We will first find the prime factorization of 67912 and 67919. After we will calculate the factors of 67912 and 67919 and find the biggest common factor number .

Step-1: Prime Factorization of 67912

Prime factors of 67912 are 2, 13, 653. Prime factorization of 67912 in exponential form is:

67912 = 2³ × 13¹ × 653¹

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 67912

List of positive integer factors of 67912 that divides 67912 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 653, 1306, 2612, 5224, 8489, 16978, 33956

Step-4: Factors of 67919

List of positive integer factors of 67919 that divides 67912 without a remainder.

1, 23, 2953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67912 and 67919. The biggest common factor number is the GCF number.
So the greatest common factor 67912 and 67919 is 1.

Also check out the Least Common Multiple of 67912 and 67919