What is the Greatest Common Factor of 67585 and 67597?

Greatest common factor (GCF) of 67585 and 67597 is 1.

GCF(67585,67597) = 1

We will now calculate the prime factors of 67585 and 67597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67585 and 67597.

How to find the GCF of 67585 and 67597?

We will first find the prime factorization of 67585 and 67597. After we will calculate the factors of 67585 and 67597 and find the biggest common factor number .

Step-1: Prime Factorization of 67585

Prime factors of 67585 are 5, 7, 1931. Prime factorization of 67585 in exponential form is:

67585 = 5¹ × 7¹ × 1931¹

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 67585

List of positive integer factors of 67585 that divides 67585 without a remainder.

1, 5, 7, 35, 1931, 9655, 13517

Step-4: Factors of 67597

List of positive integer factors of 67597 that divides 67585 without a remainder.

1, 23, 2939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67585 and 67597. The biggest common factor number is the GCF number.
So the greatest common factor 67585 and 67597 is 1.

Also check out the Least Common Multiple of 67585 and 67597