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 3658, 3663 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3658 and 3663 is 1.
GCF(3658,3663) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3658
2 | 3658 |
31 | 1829 |
59 | 59 |
1 |
Prime factors of 3658 are 2,31,59. Prime factorization of 3658 in exponential form is:
3658 = 21×311×591
Prime Factorization of 3663
3 | 3663 |
3 | 1221 |
11 | 407 |
37 | 37 |
1 |
Prime factors of 3663 are 3,11,37. Prime factorization of 3663 in exponential form is:
3663 = 32×111×371
∴ So by taking common prime factors GCF of 3658 and 3663 is 1
Factors of 3658
List of positive integer factors of 3658 that divides 3658 without a remainder.
1,2,31,59,62,118,1829,3658
Factors of 3663
List of positive integer factors of 3663 that divides 3663 without a remainder.
1,3,9,11,33,37,99,111,333,407,1221,3663
Greatest Common Factor
We found the factors and prime factorization of 3658 and 3663. The biggest common factor number is the GCF number.
So the greatest common factor 3658 and 3663 is 1.
Also check out the Least Common Multiple of 3658 and 3663
(i) The GCF of 3658 and 3663 is associative
GCF of 3658 and 3663 = GCF of 3663 and 3658
1. What is the GCF of 3658 and 3663?
Answer: GCF of 3658 and 3663 is 1.
2. What are the Factors of 3658?
Answer: Factors of 3658 are 1, 2, 31, 59, 62, 118, 1829, 3658. There are 8 integers that are factors of 3658. The greatest factor of 3658 is 3658.
3. What are the Factors of 3663?
Answer: Factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663. There are 12 integers that are factors of 3663. The greatest factor of 3663 is 3663.
4. How to Find the GCF of 3658 and 3663?
Answer:
Greatest Common Factor of 3658 and 3663 = 1
Step 1: Find the prime factorization of 3658
3658 = 2 x 31 x 59
Step 2: Find the prime factorization of 3663
3663 = 3 x 3 x 11 x 37
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 3658 and 3663 is 1