What is the Greatest Common Factor of 67585 and 67601?

Greatest common factor (GCF) of 67585 and 67601 is 1.

GCF(67585,67601) = 1

We will now calculate the prime factors of 67585 and 67601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67585 and 67601.

How to find the GCF of 67585 and 67601?

We will first find the prime factorization of 67585 and 67601. After we will calculate the factors of 67585 and 67601 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 67601

Prime factors of 67601 are 67601. Prime factorization of 67601 in exponential form is:

67601 = 67601¹

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 67601

List of positive integer factors of 67601 that divides 67585 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67585 and 67601. The biggest common factor number is the GCF number.
So the greatest common factor 67585 and 67601 is 1.

Also check out the Least Common Multiple of 67585 and 67601