What is the Greatest Common Factor of 1152 and 1162?

Greatest common factor (GCF) of 1152 and 1162 is 2.

GCF(1152,1162) = 2

We will now calculate the prime factors of 1152 and 1162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1152 and 1162.

How to find the GCF of 1152 and 1162?

We will first find the prime factorization of 1152 and 1162. After we will calculate the factors of 1152 and 1162 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 1162

Prime factors of 1162 are 2, 7, 83. Prime factorization of 1162 in exponential form is:

1162 = 2¹ × 7¹ × 83¹

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 1162

List of positive integer factors of 1162 that divides 1152 without a remainder.

1, 2, 7, 14, 83, 166, 581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1152 and 1162. The biggest common factor number is the GCF number.
So the greatest common factor 1152 and 1162 is 2.

Also check out the Least Common Multiple of 1152 and 1162