What is the Greatest Common Factor of 1102 and 1110?

Greatest common factor (GCF) of 1102 and 1110 is 2.

GCF(1102,1110) = 2

We will now calculate the prime factors of 1102 and 1110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1102 and 1110.

How to find the GCF of 1102 and 1110?

We will first find the prime factorization of 1102 and 1110. After we will calculate the factors of 1102 and 1110 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 1110

Prime factors of 1110 are 2, 3, 5, 37. Prime factorization of 1110 in exponential form is:

1110 = 2¹ × 3¹ × 5¹ × 37¹

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 1110

List of positive integer factors of 1110 that divides 1102 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1102 and 1110. The biggest common factor number is the GCF number.
So the greatest common factor 1102 and 1110 is 2.

Also check out the Least Common Multiple of 1102 and 1110