What is the Greatest Common Factor of 9042 and 9053?

Greatest common factor (GCF) of 9042 and 9053 is 11.

GCF(9042,9053) = 11

We will now calculate the prime factors of 9042 and 9053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9042 and 9053.

How to find the GCF of 9042 and 9053?

We will first find the prime factorization of 9042 and 9053. After we will calculate the factors of 9042 and 9053 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9053

Prime factors of 9053 are 11, 823. Prime factorization of 9053 in exponential form is:

9053 = 11¹ × 823¹

Step-3: Factors of 9042

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

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

Step-4: Factors of 9053

List of positive integer factors of 9053 that divides 9042 without a remainder.

1, 11, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9042 and 9053. The biggest common factor number is the GCF number.
So the greatest common factor 9042 and 9053 is 11.

Also check out the Least Common Multiple of 9042 and 9053