What is the Greatest Common Factor of 69561 and 69567?

Greatest common factor (GCF) of 69561 and 69567 is 3.

GCF(69561,69567) = 3

We will now calculate the prime factors of 69561 and 69567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69561 and 69567.

How to find the GCF of 69561 and 69567?

We will first find the prime factorization of 69561 and 69567. After we will calculate the factors of 69561 and 69567 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 69567

Prime factors of 69567 are 3, 23189. Prime factorization of 69567 in exponential form is:

69567 = 3¹ × 23189¹

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 69567

List of positive integer factors of 69567 that divides 69561 without a remainder.

1, 3, 23189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69561 and 69567. The biggest common factor number is the GCF number.
So the greatest common factor 69561 and 69567 is 3.

Also check out the Least Common Multiple of 69561 and 69567