What is the Greatest Common Factor of 1102 and 1122?

Greatest common factor (GCF) of 1102 and 1122 is 2.

GCF(1102,1122) = 2

We will now calculate the prime factors of 1102 and 1122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1102 and 1122.

How to find the GCF of 1102 and 1122?

We will first find the prime factorization of 1102 and 1122. After we will calculate the factors of 1102 and 1122 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 1122

Prime factors of 1122 are 2, 3, 11, 17. Prime factorization of 1122 in exponential form is:

1122 = 2¹ × 3¹ × 11¹ × 17¹

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 1122

List of positive integer factors of 1122 that divides 1102 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1102 and 1122. The biggest common factor number is the GCF number.
So the greatest common factor 1102 and 1122 is 2.

Also check out the Least Common Multiple of 1102 and 1122