What is the Greatest Common Factor of 99425 and 99429?

Greatest common factor (GCF) of 99425 and 99429 is 1.

GCF(99425,99429) = 1

We will now calculate the prime factors of 99425 and 99429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99425 and 99429.

How to find the GCF of 99425 and 99429?

We will first find the prime factorization of 99425 and 99429. After we will calculate the factors of 99425 and 99429 and find the biggest common factor number .

Step-1: Prime Factorization of 99425

Prime factors of 99425 are 5, 41, 97. Prime factorization of 99425 in exponential form is:

99425 = 5² × 41¹ × 97¹

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 99425

List of positive integer factors of 99425 that divides 99425 without a remainder.

1, 5, 25, 41, 97, 205, 485, 1025, 2425, 3977, 19885

Step-4: Factors of 99429

List of positive integer factors of 99429 that divides 99425 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 99425 and 99429. The biggest common factor number is the GCF number.
So the greatest common factor 99425 and 99429 is 1.

Also check out the Least Common Multiple of 99425 and 99429