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 3562, 3566 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3562 and 3566 is 2.
GCF(3562,3566) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3562
2 | 3562 |
13 | 1781 |
137 | 137 |
1 |
Prime factors of 3562 are 2,13,137. Prime factorization of 3562 in exponential form is:
3562 = 21×131×1371
Prime Factorization of 3566
2 | 3566 |
1783 | 1783 |
1 |
Prime factors of 3566 are 2,1783. Prime factorization of 3566 in exponential form is:
3566 = 21×17831
∴ So by taking common prime factors GCF of 3562 and 3566 is 2
Factors of 3562
List of positive integer factors of 3562 that divides 3562 without a remainder.
1,2,13,26,137,274,1781,3562
Factors of 3566
List of positive integer factors of 3566 that divides 3566 without a remainder.
1,2,1783,3566
Greatest Common Factor
We found the factors and prime factorization of 3562 and 3566. The biggest common factor number is the GCF number.
So the greatest common factor 3562 and 3566 is 2.
Also check out the Least Common Multiple of 3562 and 3566
(i) The GCF of 3562 and 3566 is associative
GCF of 3562 and 3566 = GCF of 3566 and 3562
1. What is the GCF of 3562 and 3566?
Answer: GCF of 3562 and 3566 is 2.
2. What are the Factors of 3562?
Answer: Factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562. There are 8 integers that are factors of 3562. The greatest factor of 3562 is 3562.
3. What are the Factors of 3566?
Answer: Factors of 3566 are 1, 2, 1783, 3566. There are 4 integers that are factors of 3566. The greatest factor of 3566 is 3566.
4. How to Find the GCF of 3562 and 3566?
Answer:
Greatest Common Factor of 3562 and 3566 = 2
Step 1: Find the prime factorization of 3562
3562 = 2 x 13 x 137
Step 2: Find the prime factorization of 3566
3566 = 2 x 1783
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 3562 and 3566 is 2