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 3476, 3479 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3476 and 3479 is 1.
GCF(3476,3479) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3476
2 | 3476 |
2 | 1738 |
11 | 869 |
79 | 79 |
1 |
Prime factors of 3476 are 2,11,79. Prime factorization of 3476 in exponential form is:
3476 = 22×111×791
Prime Factorization of 3479
7 | 3479 |
7 | 497 |
71 | 71 |
1 |
Prime factors of 3479 are 7,71. Prime factorization of 3479 in exponential form is:
3479 = 72×711
∴ So by taking common prime factors GCF of 3476 and 3479 is 1
Factors of 3476
List of positive integer factors of 3476 that divides 3476 without a remainder.
1,2,4,11,22,44,79,158,316,869,1738,3476
Factors of 3479
List of positive integer factors of 3479 that divides 3479 without a remainder.
1,7,49,71,497,3479
Greatest Common Factor
We found the factors and prime factorization of 3476 and 3479. The biggest common factor number is the GCF number.
So the greatest common factor 3476 and 3479 is 1.
Also check out the Least Common Multiple of 3476 and 3479
(i) The GCF of 3476 and 3479 is associative
GCF of 3476 and 3479 = GCF of 3479 and 3476
1. What is the GCF of 3476 and 3479?
Answer: GCF of 3476 and 3479 is 1.
2. What are the Factors of 3476?
Answer: Factors of 3476 are 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476. There are 12 integers that are factors of 3476. The greatest factor of 3476 is 3476.
3. What are the Factors of 3479?
Answer: Factors of 3479 are 1, 7, 49, 71, 497, 3479. There are 6 integers that are factors of 3479. The greatest factor of 3479 is 3479.
4. How to Find the GCF of 3476 and 3479?
Answer:
Greatest Common Factor of 3476 and 3479 = 1
Step 1: Find the prime factorization of 3476
3476 = 2 x 2 x 11 x 79
Step 2: Find the prime factorization of 3479
3479 = 7 x 7 x 71
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 3476 and 3479 is 1