What is the Greatest Common Factor of 67938 and 67942?

Greatest common factor (GCF) of 67938 and 67942 is 2.

GCF(67938,67942) = 2

We will now calculate the prime factors of 67938 and 67942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67938 and 67942.

How to find the GCF of 67938 and 67942?

We will first find the prime factorization of 67938 and 67942. After we will calculate the factors of 67938 and 67942 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67942

Prime factors of 67942 are 2, 7, 23, 211. Prime factorization of 67942 in exponential form is:

67942 = 2¹ × 7¹ × 23¹ × 211¹

Step-3: Factors of 67938

List of positive integer factors of 67938 that divides 67938 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

Step-4: Factors of 67942

List of positive integer factors of 67942 that divides 67938 without a remainder.

1, 2, 7, 14, 23, 46, 161, 211, 322, 422, 1477, 2954, 4853, 9706, 33971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67938 and 67942. The biggest common factor number is the GCF number.
So the greatest common factor 67938 and 67942 is 2.

Also check out the Least Common Multiple of 67938 and 67942