What is the Greatest Common Factor of 67591 and 67607?

Greatest common factor (GCF) of 67591 and 67607 is 1.

GCF(67591,67607) = 1

We will now calculate the prime factors of 67591 and 67607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67591 and 67607.

How to find the GCF of 67591 and 67607?

We will first find the prime factorization of 67591 and 67607. After we will calculate the factors of 67591 and 67607 and find the biggest common factor number .

Step-1: Prime Factorization of 67591

Prime factors of 67591 are 257, 263. Prime factorization of 67591 in exponential form is:

67591 = 257¹ × 263¹

Step-2: Prime Factorization of 67607

Prime factors of 67607 are 67607. Prime factorization of 67607 in exponential form is:

67607 = 67607¹

Step-3: Factors of 67591

List of positive integer factors of 67591 that divides 67591 without a remainder.

1, 257, 263

Step-4: Factors of 67607

List of positive integer factors of 67607 that divides 67591 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67591 and 67607. The biggest common factor number is the GCF number.
So the greatest common factor 67591 and 67607 is 1.

Also check out the Least Common Multiple of 67591 and 67607