What is the Greatest Common Factor of 67923 and 67938?

Greatest common factor (GCF) of 67923 and 67938 is 3.

GCF(67923,67938) = 3

We will now calculate the prime factors of 67923 and 67938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67923 and 67938.

How to find the GCF of 67923 and 67938?

We will first find the prime factorization of 67923 and 67938. After we will calculate the factors of 67923 and 67938 and find the biggest common factor number .

Step-1: Prime Factorization of 67923

Prime factors of 67923 are 3, 7547. Prime factorization of 67923 in exponential form is:

67923 = 3² × 7547¹

Step-2: Prime Factorization of 67938

Prime factors of 67938 are 2, 3, 13, 67. Prime factorization of 67938 in exponential form is:

67938 = 2¹ × 3¹ × 13² × 67¹

Step-3: Factors of 67923

List of positive integer factors of 67923 that divides 67923 without a remainder.

1, 3, 9, 7547, 22641

Step-4: Factors of 67938

List of positive integer factors of 67938 that divides 67923 without a remainder.

1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 169, 201, 338, 402, 507, 871, 1014, 1742, 2613, 5226, 11323, 22646, 33969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67923 and 67938. The biggest common factor number is the GCF number.
So the greatest common factor 67923 and 67938 is 3.

Also check out the Least Common Multiple of 67923 and 67938