What is the Greatest Common Factor of 67331 and 67337?

Greatest common factor (GCF) of 67331 and 67337 is 1.

GCF(67331,67337) = 1

We will now calculate the prime factors of 67331 and 67337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67331 and 67337.

How to find the GCF of 67331 and 67337?

We will first find the prime factorization of 67331 and 67337. After we will calculate the factors of 67331 and 67337 and find the biggest common factor number .

Step-1: Prime Factorization of 67331

Prime factors of 67331 are 11, 6121. Prime factorization of 67331 in exponential form is:

67331 = 11¹ × 6121¹

Step-2: Prime Factorization of 67337

Prime factors of 67337 are 17, 233. Prime factorization of 67337 in exponential form is:

67337 = 17² × 233¹

Step-3: Factors of 67331

List of positive integer factors of 67331 that divides 67331 without a remainder.

1, 11, 6121

Step-4: Factors of 67337

List of positive integer factors of 67337 that divides 67331 without a remainder.

1, 17, 233, 289, 3961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67331 and 67337. The biggest common factor number is the GCF number.
So the greatest common factor 67331 and 67337 is 1.

Also check out the Least Common Multiple of 67331 and 67337