What is the Greatest Common Factor of 9038 and 9052?

Greatest common factor (GCF) of 9038 and 9052 is 2.

GCF(9038,9052) = 2

We will now calculate the prime factors of 9038 and 9052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9038 and 9052.

How to find the GCF of 9038 and 9052?

We will first find the prime factorization of 9038 and 9052. After we will calculate the factors of 9038 and 9052 and find the biggest common factor number .

Step-1: Prime Factorization of 9038

Prime factors of 9038 are 2, 4519. Prime factorization of 9038 in exponential form is:

9038 = 2¹ × 4519¹

Step-2: Prime Factorization of 9052

Prime factors of 9052 are 2, 31, 73. Prime factorization of 9052 in exponential form is:

9052 = 2² × 31¹ × 73¹

Step-3: Factors of 9038

List of positive integer factors of 9038 that divides 9038 without a remainder.

1, 2, 4519

Step-4: Factors of 9052

List of positive integer factors of 9052 that divides 9038 without a remainder.

1, 2, 4, 31, 62, 73, 124, 146, 292, 2263, 4526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9038 and 9052. The biggest common factor number is the GCF number.
So the greatest common factor 9038 and 9052 is 2.

Also check out the Least Common Multiple of 9038 and 9052