What is the Greatest Common Factor of 99151 and 99164?

Greatest common factor (GCF) of 99151 and 99164 is 13.

GCF(99151,99164) = 13

We will now calculate the prime factors of 99151 and 99164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99151 and 99164.

How to find the GCF of 99151 and 99164?

We will first find the prime factorization of 99151 and 99164. After we will calculate the factors of 99151 and 99164 and find the biggest common factor number .

Step-1: Prime Factorization of 99151

Prime factors of 99151 are 13, 29, 263. Prime factorization of 99151 in exponential form is:

99151 = 13¹ × 29¹ × 263¹

Step-2: Prime Factorization of 99164

Prime factors of 99164 are 2, 13, 1907. Prime factorization of 99164 in exponential form is:

99164 = 2² × 13¹ × 1907¹

Step-3: Factors of 99151

List of positive integer factors of 99151 that divides 99151 without a remainder.

1, 13, 29, 263, 377, 3419, 7627

Step-4: Factors of 99164

List of positive integer factors of 99164 that divides 99151 without a remainder.

1, 2, 4, 13, 26, 52, 1907, 3814, 7628, 24791, 49582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99151 and 99164. The biggest common factor number is the GCF number.
So the greatest common factor 99151 and 99164 is 13.

Also check out the Least Common Multiple of 99151 and 99164