What is the Greatest Common Factor of 1083 and 1102?

Greatest common factor (GCF) of 1083 and 1102 is 19.

GCF(1083,1102) = 19

We will now calculate the prime factors of 1083 and 1102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1083 and 1102.

How to find the GCF of 1083 and 1102?

We will first find the prime factorization of 1083 and 1102. After we will calculate the factors of 1083 and 1102 and find the biggest common factor number .

Step-1: Prime Factorization of 1083

Prime factors of 1083 are 3, 19. Prime factorization of 1083 in exponential form is:

1083 = 3¹ × 19²

Step-2: 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-3: Factors of 1083

List of positive integer factors of 1083 that divides 1083 without a remainder.

1, 3, 19, 57, 361

Step-4: Factors of 1102

List of positive integer factors of 1102 that divides 1083 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1083 and 1102. The biggest common factor number is the GCF number.
So the greatest common factor 1083 and 1102 is 19.

Also check out the Least Common Multiple of 1083 and 1102