What is the Greatest Common Factor of 69432 and 69443?

Greatest common factor (GCF) of 69432 and 69443 is 11.

GCF(69432,69443) = 11

We will now calculate the prime factors of 69432 and 69443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69432 and 69443.

How to find the GCF of 69432 and 69443?

We will first find the prime factorization of 69432 and 69443. After we will calculate the factors of 69432 and 69443 and find the biggest common factor number .

Step-1: Prime Factorization of 69432

Prime factors of 69432 are 2, 3, 11, 263. Prime factorization of 69432 in exponential form is:

69432 = 2³ × 3¹ × 11¹ × 263¹

Step-2: Prime Factorization of 69443

Prime factors of 69443 are 11, 59, 107. Prime factorization of 69443 in exponential form is:

69443 = 11¹ × 59¹ × 107¹

Step-3: Factors of 69432

List of positive integer factors of 69432 that divides 69432 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 263, 264, 526, 789, 1052, 1578, 2104, 2893, 3156, 5786, 6312, 8679, 11572, 17358, 23144, 34716

Step-4: Factors of 69443

List of positive integer factors of 69443 that divides 69432 without a remainder.

1, 11, 59, 107, 649, 1177, 6313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69432 and 69443. The biggest common factor number is the GCF number.
So the greatest common factor 69432 and 69443 is 11.

Also check out the Least Common Multiple of 69432 and 69443