What is the Greatest Common Factor of 69585 and 69590?

Greatest common factor (GCF) of 69585 and 69590 is 5.

GCF(69585,69590) = 5

We will now calculate the prime factors of 69585 and 69590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69585 and 69590.

How to find the GCF of 69585 and 69590?

We will first find the prime factorization of 69585 and 69590. After we will calculate the factors of 69585 and 69590 and find the biggest common factor number .

Step-1: Prime Factorization of 69585

Prime factors of 69585 are 3, 5, 4639. Prime factorization of 69585 in exponential form is:

69585 = 3¹ × 5¹ × 4639¹

Step-2: Prime Factorization of 69590

Prime factors of 69590 are 2, 5, 6959. Prime factorization of 69590 in exponential form is:

69590 = 2¹ × 5¹ × 6959¹

Step-3: Factors of 69585

List of positive integer factors of 69585 that divides 69585 without a remainder.

1, 3, 5, 15, 4639, 13917, 23195

Step-4: Factors of 69590

List of positive integer factors of 69590 that divides 69585 without a remainder.

1, 2, 5, 10, 6959, 13918, 34795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69585 and 69590. The biggest common factor number is the GCF number.
So the greatest common factor 69585 and 69590 is 5.

Also check out the Least Common Multiple of 69585 and 69590