What is the Greatest Common Factor of 99034 and 99052?

Greatest common factor (GCF) of 99034 and 99052 is 2.

GCF(99034,99052) = 2

We will now calculate the prime factors of 99034 and 99052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99034 and 99052.

How to find the GCF of 99034 and 99052?

We will first find the prime factorization of 99034 and 99052. After we will calculate the factors of 99034 and 99052 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 99052

Prime factors of 99052 are 2, 24763. Prime factorization of 99052 in exponential form is:

99052 = 2² × 24763¹

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 99052

List of positive integer factors of 99052 that divides 99034 without a remainder.

1, 2, 4, 24763, 49526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99034 and 99052. The biggest common factor number is the GCF number.
So the greatest common factor 99034 and 99052 is 2.

Also check out the Least Common Multiple of 99034 and 99052