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 3566, 3572 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3566 and 3572 is 2.
GCF(3566,3572) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3572
2 | 3572 |
2 | 1786 |
19 | 893 |
47 | 47 |
1 |
Prime factors of 3572 are 2,19,47. Prime factorization of 3572 in exponential form is:
3572 = 22×191×471
∴ So by taking common prime factors GCF of 3566 and 3572 is 2
Factors of 3566
List of positive integer factors of 3566 that divides 3566 without a remainder.
1,2,1783,3566
Factors of 3572
List of positive integer factors of 3572 that divides 3572 without a remainder.
1,2,4,19,38,47,76,94,188,893,1786,3572
Greatest Common Factor
We found the factors and prime factorization of 3566 and 3572. The biggest common factor number is the GCF number.
So the greatest common factor 3566 and 3572 is 2.
Also check out the Least Common Multiple of 3566 and 3572
(i) The GCF of 3566 and 3572 is associative
GCF of 3566 and 3572 = GCF of 3572 and 3566
1. What is the GCF of 3566 and 3572?
Answer: GCF of 3566 and 3572 is 2.
2. 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.
3. What are the Factors of 3572?
Answer: Factors of 3572 are 1, 2, 4, 19, 38, 47, 76, 94, 188, 893, 1786, 3572. There are 12 integers that are factors of 3572. The greatest factor of 3572 is 3572.
4. How to Find the GCF of 3566 and 3572?
Answer:
Greatest Common Factor of 3566 and 3572 = 2
Step 1: Find the prime factorization of 3566
3566 = 2 x 1783
Step 2: Find the prime factorization of 3572
3572 = 2 x 2 x 19 x 47
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 3566 and 3572 is 2