What is the Greatest Common Factor of 1026 and 1031?

Greatest common factor (GCF) of 1026 and 1031 is 1.

GCF(1026,1031) = 1

We will now calculate the prime factors of 1026 and 1031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1026 and 1031.

How to find the GCF of 1026 and 1031?

We will first find the prime factorization of 1026 and 1031. After we will calculate the factors of 1026 and 1031 and find the biggest common factor number .

Step-1: Prime Factorization of 1026

Prime factors of 1026 are 2, 3, 19. Prime factorization of 1026 in exponential form is:

1026 = 2¹ × 3³ × 19¹

Step-2: Prime Factorization of 1031

Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:

1031 = 1031¹

Step-3: Factors of 1026

List of positive integer factors of 1026 that divides 1026 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513

Step-4: Factors of 1031

List of positive integer factors of 1031 that divides 1026 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1026 and 1031. The biggest common factor number is the GCF number.
So the greatest common factor 1026 and 1031 is 1.

Also check out the Least Common Multiple of 1026 and 1031