What is the Greatest Common Factor of 69429 and 69444?

Greatest common factor (GCF) of 69429 and 69444 is 3.

GCF(69429,69444) = 3

We will now calculate the prime factors of 69429 and 69444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69429 and 69444.

How to find the GCF of 69429 and 69444?

We will first find the prime factorization of 69429 and 69444. After we will calculate the factors of 69429 and 69444 and find the biggest common factor number .

Step-1: Prime Factorization of 69429

Prime factors of 69429 are 3, 23143. Prime factorization of 69429 in exponential form is:

69429 = 3¹ × 23143¹

Step-2: Prime Factorization of 69444

Prime factors of 69444 are 2, 3, 643. Prime factorization of 69444 in exponential form is:

69444 = 2² × 3³ × 643¹

Step-3: Factors of 69429

List of positive integer factors of 69429 that divides 69429 without a remainder.

1, 3, 23143

Step-4: Factors of 69444

List of positive integer factors of 69444 that divides 69429 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 643, 1286, 1929, 2572, 3858, 5787, 7716, 11574, 17361, 23148, 34722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69429 and 69444. The biggest common factor number is the GCF number.
So the greatest common factor 69429 and 69444 is 3.

Also check out the Least Common Multiple of 69429 and 69444