What is the Greatest Common Factor of 1072 and 1080?

Greatest common factor (GCF) of 1072 and 1080 is 8.

GCF(1072,1080) = 8

We will now calculate the prime factors of 1072 and 1080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1072 and 1080.

How to find the GCF of 1072 and 1080?

We will first find the prime factorization of 1072 and 1080. After we will calculate the factors of 1072 and 1080 and find the biggest common factor number .

Step-1: Prime Factorization of 1072

Prime factors of 1072 are 2, 67. Prime factorization of 1072 in exponential form is:

1072 = 2⁴ × 67¹

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 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1, 2, 4, 8, 16, 67, 134, 268, 536

Step-4: Factors of 1080

List of positive integer factors of 1080 that divides 1072 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 1072 and 1080. The biggest common factor number is the GCF number.
So the greatest common factor 1072 and 1080 is 8.

Also check out the Least Common Multiple of 1072 and 1080