What is the Greatest Common Factor of 1162 and 1176?

Greatest common factor (GCF) of 1162 and 1176 is 14.

GCF(1162,1176) = 14

We will now calculate the prime factors of 1162 and 1176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1162 and 1176.

How to find the GCF of 1162 and 1176?

We will first find the prime factorization of 1162 and 1176. After we will calculate the factors of 1162 and 1176 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 1176

Prime factors of 1176 are 2, 3, 7. Prime factorization of 1176 in exponential form is:

1176 = 2³ × 3¹ × 7²

Step-3: Factors of 1162

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

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

Step-4: Factors of 1176

List of positive integer factors of 1176 that divides 1162 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1162 and 1176. The biggest common factor number is the GCF number.
So the greatest common factor 1162 and 1176 is 14.

Also check out the Least Common Multiple of 1162 and 1176