What is the Greatest Common Factor of 1069 and 1080?

Greatest common factor (GCF) of 1069 and 1080 is 1.

GCF(1069,1080) = 1

We will now calculate the prime factors of 1069 and 1080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1069 and 1080.

How to find the GCF of 1069 and 1080?

We will first find the prime factorization of 1069 and 1080. After we will calculate the factors of 1069 and 1080 and find the biggest common factor number .

Step-1: Prime Factorization of 1069

Prime factors of 1069 are 1069. Prime factorization of 1069 in exponential form is:

1069 = 1069¹

Step-2: Prime Factorization of 1080

Prime factors of 1080 are 2, 3, 5. Prime factorization of 1080 in exponential form is:

1080 = 2³ × 3³ × 5¹

Step-3: Factors of 1069

List of positive integer factors of 1069 that divides 1069 without a remainder.

Step-4: Factors of 1080

List of positive integer factors of 1080 that divides 1069 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1069 and 1080. The biggest common factor number is the GCF number.
So the greatest common factor 1069 and 1080 is 1.

Also check out the Least Common Multiple of 1069 and 1080