What is the Greatest Common Factor of 67904 and 67912?

Greatest common factor (GCF) of 67904 and 67912 is 8.

GCF(67904,67912) = 8

We will now calculate the prime factors of 67904 and 67912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67904 and 67912.

How to find the GCF of 67904 and 67912?

We will first find the prime factorization of 67904 and 67912. After we will calculate the factors of 67904 and 67912 and find the biggest common factor number .

Step-1: Prime Factorization of 67904

Prime factors of 67904 are 2, 1061. Prime factorization of 67904 in exponential form is:

67904 = 2⁶ × 1061¹

Step-2: 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-3: Factors of 67904

List of positive integer factors of 67904 that divides 67904 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1061, 2122, 4244, 8488, 16976, 33952

Step-4: Factors of 67912

List of positive integer factors of 67912 that divides 67904 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67904 and 67912. The biggest common factor number is the GCF number.
So the greatest common factor 67904 and 67912 is 8.

Also check out the Least Common Multiple of 67904 and 67912