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 3634, 3642 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3634 and 3642 is 2.
GCF(3634,3642) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3634
2 | 3634 |
23 | 1817 |
79 | 79 |
1 |
Prime factors of 3634 are 2,23,79. Prime factorization of 3634 in exponential form is:
3634 = 21×231×791
Prime Factorization of 3642
2 | 3642 |
3 | 1821 |
607 | 607 |
1 |
Prime factors of 3642 are 2,3,607. Prime factorization of 3642 in exponential form is:
3642 = 21×31×6071
∴ So by taking common prime factors GCF of 3634 and 3642 is 2
Factors of 3634
List of positive integer factors of 3634 that divides 3634 without a remainder.
1,2,23,46,79,158,1817,3634
Factors of 3642
List of positive integer factors of 3642 that divides 3642 without a remainder.
1,2,3,6,607,1214,1821,3642
Greatest Common Factor
We found the factors and prime factorization of 3634 and 3642. The biggest common factor number is the GCF number.
So the greatest common factor 3634 and 3642 is 2.
Also check out the Least Common Multiple of 3634 and 3642
(i) The GCF of 3634 and 3642 is associative
GCF of 3634 and 3642 = GCF of 3642 and 3634
1. What is the GCF of 3634 and 3642?
Answer: GCF of 3634 and 3642 is 2.
2. What are the Factors of 3634?
Answer: Factors of 3634 are 1, 2, 23, 46, 79, 158, 1817, 3634. There are 8 integers that are factors of 3634. The greatest factor of 3634 is 3634.
3. What are the Factors of 3642?
Answer: Factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642. There are 8 integers that are factors of 3642. The greatest factor of 3642 is 3642.
4. How to Find the GCF of 3634 and 3642?
Answer:
Greatest Common Factor of 3634 and 3642 = 2
Step 1: Find the prime factorization of 3634
3634 = 2 x 23 x 79
Step 2: Find the prime factorization of 3642
3642 = 2 x 3 x 607
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 3634 and 3642 is 2