What is the Greatest Common Factor of 99407 and 99421?

Greatest common factor (GCF) of 99407 and 99421 is 7.

GCF(99407,99421) = 7

We will now calculate the prime factors of 99407 and 99421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99407 and 99421.

How to find the GCF of 99407 and 99421?

We will first find the prime factorization of 99407 and 99421. After we will calculate the factors of 99407 and 99421 and find the biggest common factor number .

Step-1: Prime Factorization of 99407

Prime factors of 99407 are 7, 11, 1291. Prime factorization of 99407 in exponential form is:

99407 = 7¹ × 11¹ × 1291¹

Step-2: Prime Factorization of 99421

Prime factors of 99421 are 7, 2029. Prime factorization of 99421 in exponential form is:

99421 = 7² × 2029¹

Step-3: Factors of 99407

List of positive integer factors of 99407 that divides 99407 without a remainder.

1, 7, 11, 77, 1291, 9037, 14201

Step-4: Factors of 99421

List of positive integer factors of 99421 that divides 99407 without a remainder.

1, 7, 49, 2029, 14203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99407 and 99421. The biggest common factor number is the GCF number.
So the greatest common factor 99407 and 99421 is 7.

Also check out the Least Common Multiple of 99407 and 99421