Greatest Common Factor of 1172 and 1176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1172, 1176 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1172 and 1176 is 4.

GCF(1172,1176) = 4

GCF of 1172 and 1176

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1172 and 1176

GCF of 1172 and 1176 is 4

Prime Factorization of 1172


2 1172
2 586
293 293
1

Prime factors of 1172 are 2,293. Prime factorization of 1172 in exponential form is:

1172 = 22×2931

Prime Factorization of 1176


2 1176
2 588
2 294
3 147
7 49
7 7
1

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

1176 = 23×31×72

∴ So by taking common prime factors GCF of 1172 and 1176 is 4

Greatest Common Factor of 1172 and 1176 by matching factors method

Factors of 1172

List of positive integer factors of 1172 that divides 1172 without a remainder.

1,2,4,293,586,1172

Factors of 1176

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

1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,392,588,1176

Greatest Common Factor

We found the factors and prime factorization of 1172 and 1176. The biggest common factor number is the GCF number.
So the greatest common factor 1172 and 1176 is 4.

Also check out the Least Common Multiple of 1172 and 1176

Properties of GCF 1172 and 1176

(i) The GCF of 1172 and 1176 is associative

GCF of 1172 and 1176 = GCF of 1176 and 1172

Related Greatest Common Factor of 1172

Related Greatest Common Factor of 1176

Frequently Asked Questions on GCF of 1172 and 1176

1. What is the GCF of 1172 and 1176?

Answer: GCF of 1172 and 1176 is 4.

2. What are the Factors of 1172?

Answer: Factors of 1172 are 1, 2, 4, 293, 586, 1172. There are 6 integers that are factors of 1172. The greatest factor of 1172 is 1172.

3. What are the Factors of 1176?

Answer: Factors of 1176 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176. There are 24 integers that are factors of 1176. The greatest factor of 1176 is 1176.

4. How to Find the GCF of 1172 and 1176?

Answer:

Greatest Common Factor of 1172 and 1176 = 4

Step 1: Find the prime factorization of 1172

1172 = 2 x 2 x 293

Step 2: Find the prime factorization of 1176

1176 = 2 x 2 x 2 x 3 x 7 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1172 and 1176 is 4