What is the Greatest Common Factor of 67374 and 67381?

Greatest common factor (GCF) of 67374 and 67381 is 1.

GCF(67374,67381) = 1

We will now calculate the prime factors of 67374 and 67381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67374 and 67381.

How to find the GCF of 67374 and 67381?

We will first find the prime factorization of 67374 and 67381. After we will calculate the factors of 67374 and 67381 and find the biggest common factor number .

Step-1: Prime Factorization of 67374

Prime factors of 67374 are 2, 3, 19, 197. Prime factorization of 67374 in exponential form is:

67374 = 2¹ × 3² × 19¹ × 197¹

Step-2: Prime Factorization of 67381

Prime factors of 67381 are 43, 1567. Prime factorization of 67381 in exponential form is:

67381 = 43¹ × 1567¹

Step-3: Factors of 67374

List of positive integer factors of 67374 that divides 67374 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 197, 342, 394, 591, 1182, 1773, 3546, 3743, 7486, 11229, 22458, 33687

Step-4: Factors of 67381

List of positive integer factors of 67381 that divides 67374 without a remainder.

1, 43, 1567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67374 and 67381. The biggest common factor number is the GCF number.
So the greatest common factor 67374 and 67381 is 1.

Also check out the Least Common Multiple of 67374 and 67381