What is the Greatest Common Factor of 1130 and 1142?

Greatest common factor (GCF) of 1130 and 1142 is 2.

GCF(1130,1142) = 2

We will now calculate the prime factors of 1130 and 1142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1130 and 1142.

How to find the GCF of 1130 and 1142?

We will first find the prime factorization of 1130 and 1142. After we will calculate the factors of 1130 and 1142 and find the biggest common factor number .

Step-1: Prime Factorization of 1130

Prime factors of 1130 are 2, 5, 113. Prime factorization of 1130 in exponential form is:

1130 = 2¹ × 5¹ × 113¹

Step-2: Prime Factorization of 1142

Prime factors of 1142 are 2, 571. Prime factorization of 1142 in exponential form is:

1142 = 2¹ × 571¹

Step-3: Factors of 1130

List of positive integer factors of 1130 that divides 1130 without a remainder.

1, 2, 5, 10, 113, 226, 565

Step-4: Factors of 1142

List of positive integer factors of 1142 that divides 1130 without a remainder.

1, 2, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1130 and 1142. The biggest common factor number is the GCF number.
So the greatest common factor 1130 and 1142 is 2.

Also check out the Least Common Multiple of 1130 and 1142