What is the Greatest Common Factor of 1023 and 1043?

Greatest common factor (GCF) of 1023 and 1043 is 1.

GCF(1023,1043) = 1

We will now calculate the prime factors of 1023 and 1043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1023 and 1043.

How to find the GCF of 1023 and 1043?

We will first find the prime factorization of 1023 and 1043. After we will calculate the factors of 1023 and 1043 and find the biggest common factor number .

Step-1: Prime Factorization of 1023

Prime factors of 1023 are 3, 11, 31. Prime factorization of 1023 in exponential form is:

1023 = 3¹ × 11¹ × 31¹

Step-2: Prime Factorization of 1043

Prime factors of 1043 are 7, 149. Prime factorization of 1043 in exponential form is:

1043 = 7¹ × 149¹

Step-3: Factors of 1023

List of positive integer factors of 1023 that divides 1023 without a remainder.

1, 3, 11, 31, 33, 93, 341

Step-4: Factors of 1043

List of positive integer factors of 1043 that divides 1023 without a remainder.

1, 7, 149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1023 and 1043. The biggest common factor number is the GCF number.
So the greatest common factor 1023 and 1043 is 1.

Also check out the Least Common Multiple of 1023 and 1043