What is the Greatest Common Factor of 1106 and 1126?

Greatest common factor (GCF) of 1106 and 1126 is 2.

GCF(1106,1126) = 2

We will now calculate the prime factors of 1106 and 1126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1106 and 1126.

How to find the GCF of 1106 and 1126?

We will first find the prime factorization of 1106 and 1126. After we will calculate the factors of 1106 and 1126 and find the biggest common factor number .

Step-1: Prime Factorization of 1106

Prime factors of 1106 are 2, 7, 79. Prime factorization of 1106 in exponential form is:

1106 = 2¹ × 7¹ × 79¹

Step-2: Prime Factorization of 1126

Prime factors of 1126 are 2, 563. Prime factorization of 1126 in exponential form is:

1126 = 2¹ × 563¹

Step-3: Factors of 1106

List of positive integer factors of 1106 that divides 1106 without a remainder.

1, 2, 7, 14, 79, 158, 553

Step-4: Factors of 1126

List of positive integer factors of 1126 that divides 1106 without a remainder.

1, 2, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1106 and 1126. The biggest common factor number is the GCF number.
So the greatest common factor 1106 and 1126 is 2.

Also check out the Least Common Multiple of 1106 and 1126