What is the Greatest Common Factor of 69444 and 69452?

Greatest common factor (GCF) of 69444 and 69452 is 4.

GCF(69444,69452) = 4

We will now calculate the prime factors of 69444 and 69452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69444 and 69452.

How to find the GCF of 69444 and 69452?

We will first find the prime factorization of 69444 and 69452. After we will calculate the factors of 69444 and 69452 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69452

Prime factors of 69452 are 2, 97, 179. Prime factorization of 69452 in exponential form is:

69452 = 2² × 97¹ × 179¹

Step-3: Factors of 69444

List of positive integer factors of 69444 that divides 69444 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

Step-4: Factors of 69452

List of positive integer factors of 69452 that divides 69444 without a remainder.

1, 2, 4, 97, 179, 194, 358, 388, 716, 17363, 34726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69444 and 69452. The biggest common factor number is the GCF number.
So the greatest common factor 69444 and 69452 is 4.

Also check out the Least Common Multiple of 69444 and 69452