What is the Greatest Common Factor of 67381 and 67387?

Greatest common factor (GCF) of 67381 and 67387 is 1.

GCF(67381,67387) = 1

We will now calculate the prime factors of 67381 and 67387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67381 and 67387.

How to find the GCF of 67381 and 67387?

We will first find the prime factorization of 67381 and 67387. After we will calculate the factors of 67381 and 67387 and find the biggest common factor number .

Step-1: Prime Factorization of 67381

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

67381 = 43¹ × 1567¹

Step-2: Prime Factorization of 67387

Prime factors of 67387 are 79, 853. Prime factorization of 67387 in exponential form is:

67387 = 79¹ × 853¹

Step-3: Factors of 67381

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

1, 43, 1567

Step-4: Factors of 67387

List of positive integer factors of 67387 that divides 67381 without a remainder.

1, 79, 853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67381 and 67387. The biggest common factor number is the GCF number.
So the greatest common factor 67381 and 67387 is 1.

Also check out the Least Common Multiple of 67381 and 67387