What is the Greatest Common Factor of 99034 and 99047?

Greatest common factor (GCF) of 99034 and 99047 is 13.

GCF(99034,99047) = 13

We will now calculate the prime factors of 99034 and 99047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99034 and 99047.

How to find the GCF of 99034 and 99047?

We will first find the prime factorization of 99034 and 99047. After we will calculate the factors of 99034 and 99047 and find the biggest common factor number .

Step-1: Prime Factorization of 99034

Prime factors of 99034 are 2, 13, 293. Prime factorization of 99034 in exponential form is:

99034 = 2¹ × 13² × 293¹

Step-2: Prime Factorization of 99047

Prime factors of 99047 are 13, 19, 401. Prime factorization of 99047 in exponential form is:

99047 = 13¹ × 19¹ × 401¹

Step-3: Factors of 99034

List of positive integer factors of 99034 that divides 99034 without a remainder.

1, 2, 13, 26, 169, 293, 338, 586, 3809, 7618, 49517

Step-4: Factors of 99047

List of positive integer factors of 99047 that divides 99034 without a remainder.

1, 13, 19, 247, 401, 5213, 7619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99034 and 99047. The biggest common factor number is the GCF number.
So the greatest common factor 99034 and 99047 is 13.

Also check out the Least Common Multiple of 99034 and 99047