What is the Greatest Common Factor of 1128 and 1138?

Greatest common factor (GCF) of 1128 and 1138 is 2.

GCF(1128,1138) = 2

We will now calculate the prime factors of 1128 and 1138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1128 and 1138.

How to find the GCF of 1128 and 1138?

We will first find the prime factorization of 1128 and 1138. After we will calculate the factors of 1128 and 1138 and find the biggest common factor number .

Step-1: Prime Factorization of 1128

Prime factors of 1128 are 2, 3, 47. Prime factorization of 1128 in exponential form is:

1128 = 2³ × 3¹ × 47¹

Step-2: Prime Factorization of 1138

Prime factors of 1138 are 2, 569. Prime factorization of 1138 in exponential form is:

1138 = 2¹ × 569¹

Step-3: Factors of 1128

List of positive integer factors of 1128 that divides 1128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564

Step-4: Factors of 1138

List of positive integer factors of 1138 that divides 1128 without a remainder.

1, 2, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1128 and 1138. The biggest common factor number is the GCF number.
So the greatest common factor 1128 and 1138 is 2.

Also check out the Least Common Multiple of 1128 and 1138