What is the Greatest Common Factor of 67912 and 67930?

Greatest common factor (GCF) of 67912 and 67930 is 2.

GCF(67912,67930) = 2

We will now calculate the prime factors of 67912 and 67930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67912 and 67930.

How to find the GCF of 67912 and 67930?

We will first find the prime factorization of 67912 and 67930. After we will calculate the factors of 67912 and 67930 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 67930

Prime factors of 67930 are 2, 5, 6793. Prime factorization of 67930 in exponential form is:

67930 = 2¹ × 5¹ × 6793¹

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 67930

List of positive integer factors of 67930 that divides 67912 without a remainder.

1, 2, 5, 10, 6793, 13586, 33965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67912 and 67930. The biggest common factor number is the GCF number.
So the greatest common factor 67912 and 67930 is 2.

Also check out the Least Common Multiple of 67912 and 67930