What is the Greatest Common Factor of 67588 and 67597?

Greatest common factor (GCF) of 67588 and 67597 is 1.

GCF(67588,67597) = 1

We will now calculate the prime factors of 67588 and 67597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67588 and 67597.

How to find the GCF of 67588 and 67597?

We will first find the prime factorization of 67588 and 67597. After we will calculate the factors of 67588 and 67597 and find the biggest common factor number .

Step-1: Prime Factorization of 67588

Prime factors of 67588 are 2, 61, 277. Prime factorization of 67588 in exponential form is:

67588 = 2² × 61¹ × 277¹

Step-2: Prime Factorization of 67597

Prime factors of 67597 are 23, 2939. Prime factorization of 67597 in exponential form is:

67597 = 23¹ × 2939¹

Step-3: Factors of 67588

List of positive integer factors of 67588 that divides 67588 without a remainder.

1, 2, 4, 61, 122, 244, 277, 554, 1108, 16897, 33794

Step-4: Factors of 67597

List of positive integer factors of 67597 that divides 67588 without a remainder.

1, 23, 2939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67588 and 67597. The biggest common factor number is the GCF number.
So the greatest common factor 67588 and 67597 is 1.

Also check out the Least Common Multiple of 67588 and 67597