What is the Greatest Common Factor of 99034 and 99042?

Greatest common factor (GCF) of 99034 and 99042 is 2.

GCF(99034,99042) = 2

We will now calculate the prime factors of 99034 and 99042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99034 and 99042.

How to find the GCF of 99034 and 99042?

We will first find the prime factorization of 99034 and 99042. After we will calculate the factors of 99034 and 99042 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 99042

Prime factors of 99042 are 2, 3, 17, 971. Prime factorization of 99042 in exponential form is:

99042 = 2¹ × 3¹ × 17¹ × 971¹

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 99042

List of positive integer factors of 99042 that divides 99034 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 971, 1942, 2913, 5826, 16507, 33014, 49521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99034 and 99042. The biggest common factor number is the GCF number.
So the greatest common factor 99034 and 99042 is 2.

Also check out the Least Common Multiple of 99034 and 99042