What is the Greatest Common Factor of 93038 and 93049?

Greatest common factor (GCF) of 93038 and 93049 is 11.

GCF(93038,93049) = 11

We will now calculate the prime factors of 93038 and 93049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93038 and 93049.

How to find the GCF of 93038 and 93049?

We will first find the prime factorization of 93038 and 93049. After we will calculate the factors of 93038 and 93049 and find the biggest common factor number .

Step-1: Prime Factorization of 93038

Prime factors of 93038 are 2, 11, 4229. Prime factorization of 93038 in exponential form is:

93038 = 2¹ × 11¹ × 4229¹

Step-2: Prime Factorization of 93049

Prime factors of 93049 are 11, 769. Prime factorization of 93049 in exponential form is:

93049 = 11² × 769¹

Step-3: Factors of 93038

List of positive integer factors of 93038 that divides 93038 without a remainder.

1, 2, 11, 22, 4229, 8458, 46519

Step-4: Factors of 93049

List of positive integer factors of 93049 that divides 93038 without a remainder.

1, 11, 121, 769, 8459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93038 and 93049. The biggest common factor number is the GCF number.
So the greatest common factor 93038 and 93049 is 11.

Also check out the Least Common Multiple of 93038 and 93049