What is the Greatest Common Factor of 1102 and 1116?

Greatest common factor (GCF) of 1102 and 1116 is 2.

GCF(1102,1116) = 2

We will now calculate the prime factors of 1102 and 1116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1102 and 1116.

How to find the GCF of 1102 and 1116?

We will first find the prime factorization of 1102 and 1116. After we will calculate the factors of 1102 and 1116 and find the biggest common factor number .

Step-1: Prime Factorization of 1102

Prime factors of 1102 are 2, 19, 29. Prime factorization of 1102 in exponential form is:

1102 = 2¹ × 19¹ × 29¹

Step-2: Prime Factorization of 1116

Prime factors of 1116 are 2, 3, 31. Prime factorization of 1116 in exponential form is:

1116 = 2² × 3² × 31¹

Step-3: Factors of 1102

List of positive integer factors of 1102 that divides 1102 without a remainder.

1, 2, 19, 29, 38, 58, 551

Step-4: Factors of 1116

List of positive integer factors of 1116 that divides 1102 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1102 and 1116. The biggest common factor number is the GCF number.
So the greatest common factor 1102 and 1116 is 2.

Also check out the Least Common Multiple of 1102 and 1116