What is the Greatest Common Factor of 69567 and 69576?

Greatest common factor (GCF) of 69567 and 69576 is 3.

GCF(69567,69576) = 3

We will now calculate the prime factors of 69567 and 69576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69567 and 69576.

How to find the GCF of 69567 and 69576?

We will first find the prime factorization of 69567 and 69576. After we will calculate the factors of 69567 and 69576 and find the biggest common factor number .

Step-1: Prime Factorization of 69567

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

69567 = 3¹ × 23189¹

Step-2: Prime Factorization of 69576

Prime factors of 69576 are 2, 3, 13, 223. Prime factorization of 69576 in exponential form is:

69576 = 2³ × 3¹ × 13¹ × 223¹

Step-3: Factors of 69567

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

1, 3, 23189

Step-4: Factors of 69576

List of positive integer factors of 69576 that divides 69567 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 223, 312, 446, 669, 892, 1338, 1784, 2676, 2899, 5352, 5798, 8697, 11596, 17394, 23192, 34788

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69567 and 69576. The biggest common factor number is the GCF number.
So the greatest common factor 69567 and 69576 is 3.

Also check out the Least Common Multiple of 69567 and 69576