What is the Greatest Common Factor of 69585 and 69605?

Greatest common factor (GCF) of 69585 and 69605 is 5.

GCF(69585,69605) = 5

We will now calculate the prime factors of 69585 and 69605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69585 and 69605.

How to find the GCF of 69585 and 69605?

We will first find the prime factorization of 69585 and 69605. After we will calculate the factors of 69585 and 69605 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 69605

Prime factors of 69605 are 5, 13921. Prime factorization of 69605 in exponential form is:

69605 = 5¹ × 13921¹

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 69605

List of positive integer factors of 69605 that divides 69585 without a remainder.

1, 5, 13921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69585 and 69605. The biggest common factor number is the GCF number.
So the greatest common factor 69585 and 69605 is 5.

Also check out the Least Common Multiple of 69585 and 69605