What is the Greatest Common Factor of 67921 and 67938?

Greatest common factor (GCF) of 67921 and 67938 is 1.

GCF(67921,67938) = 1

We will now calculate the prime factors of 67921 and 67938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67921 and 67938.

How to find the GCF of 67921 and 67938?

We will first find the prime factorization of 67921 and 67938. After we will calculate the factors of 67921 and 67938 and find the biggest common factor number .

Step-1: Prime Factorization of 67921

Prime factors of 67921 are 7, 31, 313. Prime factorization of 67921 in exponential form is:

67921 = 7¹ × 31¹ × 313¹

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 67921

List of positive integer factors of 67921 that divides 67921 without a remainder.

1, 7, 31, 217, 313, 2191, 9703

Step-4: Factors of 67938

List of positive integer factors of 67938 that divides 67921 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 67921 and 67938. The biggest common factor number is the GCF number.
So the greatest common factor 67921 and 67938 is 1.

Also check out the Least Common Multiple of 67921 and 67938