What is the Greatest Common Factor of 1152 and 1160?

Greatest common factor (GCF) of 1152 and 1160 is 8.

GCF(1152,1160) = 8

We will now calculate the prime factors of 1152 and 1160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1152 and 1160.

How to find the GCF of 1152 and 1160?

We will first find the prime factorization of 1152 and 1160. After we will calculate the factors of 1152 and 1160 and find the biggest common factor number .

Step-1: Prime Factorization of 1152

Prime factors of 1152 are 2, 3. Prime factorization of 1152 in exponential form is:

1152 = 2⁷ × 3²

Step-2: Prime Factorization of 1160

Prime factors of 1160 are 2, 5, 29. Prime factorization of 1160 in exponential form is:

1160 = 2³ × 5¹ × 29¹

Step-3: Factors of 1152

List of positive integer factors of 1152 that divides 1152 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576

Step-4: Factors of 1160

List of positive integer factors of 1160 that divides 1152 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1152 and 1160. The biggest common factor number is the GCF number.
So the greatest common factor 1152 and 1160 is 8.

Also check out the Least Common Multiple of 1152 and 1160