What is the Greatest Common Factor of 1038 and 1052?

Greatest common factor (GCF) of 1038 and 1052 is 2.

GCF(1038,1052) = 2

We will now calculate the prime factors of 1038 and 1052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1038 and 1052.

How to find the GCF of 1038 and 1052?

We will first find the prime factorization of 1038 and 1052. After we will calculate the factors of 1038 and 1052 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 1052

Prime factors of 1052 are 2, 263. Prime factorization of 1052 in exponential form is:

1052 = 2² × 263¹

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 1052

List of positive integer factors of 1052 that divides 1038 without a remainder.

1, 2, 4, 263, 526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1038 and 1052. The biggest common factor number is the GCF number.
So the greatest common factor 1038 and 1052 is 2.

Also check out the Least Common Multiple of 1038 and 1052