What is the Greatest Common Factor of 99413 and 99429?

Greatest common factor (GCF) of 99413 and 99429 is 1.

GCF(99413,99429) = 1

We will now calculate the prime factors of 99413 and 99429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99413 and 99429.

How to find the GCF of 99413 and 99429?

We will first find the prime factorization of 99413 and 99429. After we will calculate the factors of 99413 and 99429 and find the biggest common factor number .

Step-1: Prime Factorization of 99413

Prime factors of 99413 are 89, 1117. Prime factorization of 99413 in exponential form is:

99413 = 89¹ × 1117¹

Step-2: 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-3: Factors of 99413

List of positive integer factors of 99413 that divides 99413 without a remainder.

1, 89, 1117

Step-4: Factors of 99429

List of positive integer factors of 99429 that divides 99413 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99413 and 99429. The biggest common factor number is the GCF number.
So the greatest common factor 99413 and 99429 is 1.

Also check out the Least Common Multiple of 99413 and 99429