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 3486, 3488 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3486 and 3488 is 2.
GCF(3486,3488) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3486
2 | 3486 |
3 | 1743 |
7 | 581 |
83 | 83 |
1 |
Prime factors of 3486 are 2,3,7,83. Prime factorization of 3486 in exponential form is:
3486 = 21×31×71×831
Prime Factorization of 3488
2 | 3488 |
2 | 1744 |
2 | 872 |
2 | 436 |
2 | 218 |
109 | 109 |
1 |
Prime factors of 3488 are 2,109. Prime factorization of 3488 in exponential form is:
3488 = 25×1091
∴ So by taking common prime factors GCF of 3486 and 3488 is 2
Factors of 3486
List of positive integer factors of 3486 that divides 3486 without a remainder.
1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486
Factors of 3488
List of positive integer factors of 3488 that divides 3488 without a remainder.
1,2,4,8,16,32,109,218,436,872,1744,3488
Greatest Common Factor
We found the factors and prime factorization of 3486 and 3488. The biggest common factor number is the GCF number.
So the greatest common factor 3486 and 3488 is 2.
Also check out the Least Common Multiple of 3486 and 3488
(i) The GCF of 3486 and 3488 is associative
GCF of 3486 and 3488 = GCF of 3488 and 3486
1. What is the GCF of 3486 and 3488?
Answer: GCF of 3486 and 3488 is 2.
2. What are the Factors of 3486?
Answer: Factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486. There are 16 integers that are factors of 3486. The greatest factor of 3486 is 3486.
3. What are the Factors of 3488?
Answer: Factors of 3488 are 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488. There are 12 integers that are factors of 3488. The greatest factor of 3488 is 3488.
4. How to Find the GCF of 3486 and 3488?
Answer:
Greatest Common Factor of 3486 and 3488 = 2
Step 1: Find the prime factorization of 3486
3486 = 2 x 3 x 7 x 83
Step 2: Find the prime factorization of 3488
3488 = 2 x 2 x 2 x 2 x 2 x 109
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 3486 and 3488 is 2