What is the Greatest Common Factor of 69573 and 69585?

Greatest common factor (GCF) of 69573 and 69585 is 3.

GCF(69573,69585) = 3

We will now calculate the prime factors of 69573 and 69585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69573 and 69585.

How to find the GCF of 69573 and 69585?

We will first find the prime factorization of 69573 and 69585. After we will calculate the factors of 69573 and 69585 and find the biggest common factor number .

Step-1: Prime Factorization of 69573

Prime factors of 69573 are 3, 7, 3313. Prime factorization of 69573 in exponential form is:

69573 = 3¹ × 7¹ × 3313¹

Step-2: 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-3: Factors of 69573

List of positive integer factors of 69573 that divides 69573 without a remainder.

1, 3, 7, 21, 3313, 9939, 23191

Step-4: Factors of 69585

List of positive integer factors of 69585 that divides 69573 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69573 and 69585. The biggest common factor number is the GCF number.
So the greatest common factor 69573 and 69585 is 3.

Also check out the Least Common Multiple of 69573 and 69585