What is the Greatest Common Factor of 67667 and 67681?

Greatest common factor (GCF) of 67667 and 67681 is 1.

GCF(67667,67681) = 1

We will now calculate the prime factors of 67667 and 67681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67667 and 67681.

How to find the GCF of 67667 and 67681?

We will first find the prime factorization of 67667 and 67681. After we will calculate the factors of 67667 and 67681 and find the biggest common factor number .

Step-1: Prime Factorization of 67667

Prime factors of 67667 are 157, 431. Prime factorization of 67667 in exponential form is:

67667 = 157¹ × 431¹

Step-2: Prime Factorization of 67681

Prime factors of 67681 are 53, 1277. Prime factorization of 67681 in exponential form is:

67681 = 53¹ × 1277¹

Step-3: Factors of 67667

List of positive integer factors of 67667 that divides 67667 without a remainder.

1, 157, 431

Step-4: Factors of 67681

List of positive integer factors of 67681 that divides 67667 without a remainder.

1, 53, 1277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67667 and 67681. The biggest common factor number is the GCF number.
So the greatest common factor 67667 and 67681 is 1.

Also check out the Least Common Multiple of 67667 and 67681