What is the Greatest Common Factor of 1102 and 1112?

Greatest common factor (GCF) of 1102 and 1112 is 2.

GCF(1102,1112) = 2

We will now calculate the prime factors of 1102 and 1112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1102 and 1112.

How to find the GCF of 1102 and 1112?

We will first find the prime factorization of 1102 and 1112. After we will calculate the factors of 1102 and 1112 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 1112

Prime factors of 1112 are 2, 139. Prime factorization of 1112 in exponential form is:

1112 = 2³ × 139¹

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 1112

List of positive integer factors of 1112 that divides 1102 without a remainder.

1, 2, 4, 8, 139, 278, 556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1102 and 1112. The biggest common factor number is the GCF number.
So the greatest common factor 1102 and 1112 is 2.

Also check out the Least Common Multiple of 1102 and 1112