What is the Greatest Common Factor of 1038 and 1042?

Greatest common factor (GCF) of 1038 and 1042 is 2.

GCF(1038,1042) = 2

We will now calculate the prime factors of 1038 and 1042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1038 and 1042.

How to find the GCF of 1038 and 1042?

We will first find the prime factorization of 1038 and 1042. After we will calculate the factors of 1038 and 1042 and find the biggest common factor number .

Step-1: Prime Factorization of 1038

Prime factors of 1038 are 2, 3, 173. Prime factorization of 1038 in exponential form is:

1038 = 2¹ × 3¹ × 173¹

Step-2: Prime Factorization of 1042

Prime factors of 1042 are 2, 521. Prime factorization of 1042 in exponential form is:

1042 = 2¹ × 521¹

Step-3: Factors of 1038

List of positive integer factors of 1038 that divides 1038 without a remainder.

1, 2, 3, 6, 173, 346, 519

Step-4: Factors of 1042

List of positive integer factors of 1042 that divides 1038 without a remainder.

1, 2, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1038 and 1042. The biggest common factor number is the GCF number.
So the greatest common factor 1038 and 1042 is 2.

Also check out the Least Common Multiple of 1038 and 1042