What is the Greatest Common Factor of 69561 and 69573?

Greatest common factor (GCF) of 69561 and 69573 is 3.

GCF(69561,69573) = 3

We will now calculate the prime factors of 69561 and 69573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69561 and 69573.

How to find the GCF of 69561 and 69573?

We will first find the prime factorization of 69561 and 69573. After we will calculate the factors of 69561 and 69573 and find the biggest common factor number .

Step-1: Prime Factorization of 69561

Prime factors of 69561 are 3, 59, 131. Prime factorization of 69561 in exponential form is:

69561 = 3² × 59¹ × 131¹

Step-2: 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-3: Factors of 69561

List of positive integer factors of 69561 that divides 69561 without a remainder.

1, 3, 9, 59, 131, 177, 393, 531, 1179, 7729, 23187

Step-4: Factors of 69573

List of positive integer factors of 69573 that divides 69561 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69561 and 69573. The biggest common factor number is the GCF number.
So the greatest common factor 69561 and 69573 is 3.

Also check out the Least Common Multiple of 69561 and 69573