What is the Greatest Common Factor of 9031 and 9042?

Greatest common factor (GCF) of 9031 and 9042 is 11.

GCF(9031,9042) = 11

We will now calculate the prime factors of 9031 and 9042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9031 and 9042.

How to find the GCF of 9031 and 9042?

We will first find the prime factorization of 9031 and 9042. After we will calculate the factors of 9031 and 9042 and find the biggest common factor number .

Step-1: Prime Factorization of 9031

Prime factors of 9031 are 11, 821. Prime factorization of 9031 in exponential form is:

9031 = 11¹ × 821¹

Step-2: Prime Factorization of 9042

Prime factors of 9042 are 2, 3, 11, 137. Prime factorization of 9042 in exponential form is:

9042 = 2¹ × 3¹ × 11¹ × 137¹

Step-3: Factors of 9031

List of positive integer factors of 9031 that divides 9031 without a remainder.

1, 11, 821

Step-4: Factors of 9042

List of positive integer factors of 9042 that divides 9031 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9031 and 9042. The biggest common factor number is the GCF number.
So the greatest common factor 9031 and 9042 is 11.

Also check out the Least Common Multiple of 9031 and 9042