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 3172, 3179 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3172 and 3179 is 1.
GCF(3172,3179) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3172
2 | 3172 |
2 | 1586 |
13 | 793 |
61 | 61 |
1 |
Prime factors of 3172 are 2,13,61. Prime factorization of 3172 in exponential form is:
3172 = 22×131×611
Prime Factorization of 3179
11 | 3179 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 3179 are 11,17. Prime factorization of 3179 in exponential form is:
3179 = 111×172
∴ So by taking common prime factors GCF of 3172 and 3179 is 1
Factors of 3172
List of positive integer factors of 3172 that divides 3172 without a remainder.
1,2,4,13,26,52,61,122,244,793,1586,3172
Factors of 3179
List of positive integer factors of 3179 that divides 3179 without a remainder.
1,11,17,187,289,3179
Greatest Common Factor
We found the factors and prime factorization of 3172 and 3179. The biggest common factor number is the GCF number.
So the greatest common factor 3172 and 3179 is 1.
Also check out the Least Common Multiple of 3172 and 3179
(i) The GCF of 3172 and 3179 is associative
GCF of 3172 and 3179 = GCF of 3179 and 3172
1. What is the GCF of 3172 and 3179?
Answer: GCF of 3172 and 3179 is 1.
2. What are the Factors of 3172?
Answer: Factors of 3172 are 1, 2, 4, 13, 26, 52, 61, 122, 244, 793, 1586, 3172. There are 12 integers that are factors of 3172. The greatest factor of 3172 is 3172.
3. What are the Factors of 3179?
Answer: Factors of 3179 are 1, 11, 17, 187, 289, 3179. There are 6 integers that are factors of 3179. The greatest factor of 3179 is 3179.
4. How to Find the GCF of 3172 and 3179?
Answer:
Greatest Common Factor of 3172 and 3179 = 1
Step 1: Find the prime factorization of 3172
3172 = 2 x 2 x 13 x 61
Step 2: Find the prime factorization of 3179
3179 = 11 x 17 x 17
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3172 and 3179 is 1