What is the Greatest Common Factor of 99429 and 99433?

Greatest common factor (GCF) of 99429 and 99433 is 1.

GCF(99429,99433) = 1

We will now calculate the prime factors of 99429 and 99433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99429 and 99433.

How to find the GCF of 99429 and 99433?

We will first find the prime factorization of 99429 and 99433. After we will calculate the factors of 99429 and 99433 and find the biggest common factor number .

Step-1: Prime Factorization of 99429

Prime factors of 99429 are 3, 11, 23, 131. Prime factorization of 99429 in exponential form is:

99429 = 3¹ × 11¹ × 23¹ × 131¹

Step-2: Prime Factorization of 99433

Prime factors of 99433 are 17, 5849. Prime factorization of 99433 in exponential form is:

99433 = 17¹ × 5849¹

Step-3: Factors of 99429

List of positive integer factors of 99429 that divides 99429 without a remainder.

1, 3, 11, 23, 33, 69, 131, 253, 393, 759, 1441, 3013, 4323, 9039, 33143

Step-4: Factors of 99433

List of positive integer factors of 99433 that divides 99429 without a remainder.

1, 17, 5849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99429 and 99433. The biggest common factor number is the GCF number.
So the greatest common factor 99429 and 99433 is 1.

Also check out the Least Common Multiple of 99429 and 99433