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 3496, 3502 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3496 and 3502 is 2.
GCF(3496,3502) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3496
2 | 3496 |
2 | 1748 |
2 | 874 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 3496 are 2,19,23. Prime factorization of 3496 in exponential form is:
3496 = 23×191×231
Prime Factorization of 3502
2 | 3502 |
17 | 1751 |
103 | 103 |
1 |
Prime factors of 3502 are 2,17,103. Prime factorization of 3502 in exponential form is:
3502 = 21×171×1031
∴ So by taking common prime factors GCF of 3496 and 3502 is 2
Factors of 3496
List of positive integer factors of 3496 that divides 3496 without a remainder.
1,2,4,8,19,23,38,46,76,92,152,184,437,874,1748,3496
Factors of 3502
List of positive integer factors of 3502 that divides 3502 without a remainder.
1,2,17,34,103,206,1751,3502
Greatest Common Factor
We found the factors and prime factorization of 3496 and 3502. The biggest common factor number is the GCF number.
So the greatest common factor 3496 and 3502 is 2.
Also check out the Least Common Multiple of 3496 and 3502
(i) The GCF of 3496 and 3502 is associative
GCF of 3496 and 3502 = GCF of 3502 and 3496
1. What is the GCF of 3496 and 3502?
Answer: GCF of 3496 and 3502 is 2.
2. What are the Factors of 3496?
Answer: Factors of 3496 are 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496. There are 16 integers that are factors of 3496. The greatest factor of 3496 is 3496.
3. What are the Factors of 3502?
Answer: Factors of 3502 are 1, 2, 17, 34, 103, 206, 1751, 3502. There are 8 integers that are factors of 3502. The greatest factor of 3502 is 3502.
4. How to Find the GCF of 3496 and 3502?
Answer:
Greatest Common Factor of 3496 and 3502 = 2
Step 1: Find the prime factorization of 3496
3496 = 2 x 2 x 2 x 19 x 23
Step 2: Find the prime factorization of 3502
3502 = 2 x 17 x 103
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 3496 and 3502 is 2