What is the Greatest Common Factor of 67585 and 67590?

Greatest common factor (GCF) of 67585 and 67590 is 5.

GCF(67585,67590) = 5

We will now calculate the prime factors of 67585 and 67590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67585 and 67590.

How to find the GCF of 67585 and 67590?

We will first find the prime factorization of 67585 and 67590. After we will calculate the factors of 67585 and 67590 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 67590

Prime factors of 67590 are 2, 3, 5, 751. Prime factorization of 67590 in exponential form is:

67590 = 2¹ × 3² × 5¹ × 751¹

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 67590

List of positive integer factors of 67590 that divides 67585 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 751, 1502, 2253, 3755, 4506, 6759, 7510, 11265, 13518, 22530, 33795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67585 and 67590. The biggest common factor number is the GCF number.
So the greatest common factor 67585 and 67590 is 5.

Also check out the Least Common Multiple of 67585 and 67590