What is the Greatest Common Factor of 99042 and 99051?

Greatest common factor (GCF) of 99042 and 99051 is 3.

GCF(99042,99051) = 3

We will now calculate the prime factors of 99042 and 99051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99042 and 99051.

How to find the GCF of 99042 and 99051?

We will first find the prime factorization of 99042 and 99051. After we will calculate the factors of 99042 and 99051 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99051

Prime factors of 99051 are 3, 137, 241. Prime factorization of 99051 in exponential form is:

99051 = 3¹ × 137¹ × 241¹

Step-3: Factors of 99042

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

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

Step-4: Factors of 99051

List of positive integer factors of 99051 that divides 99042 without a remainder.

1, 3, 137, 241, 411, 723, 33017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99042 and 99051. The biggest common factor number is the GCF number.
So the greatest common factor 99042 and 99051 is 3.

Also check out the Least Common Multiple of 99042 and 99051