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 8635, 8642 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8635 and 8642 is 1.
GCF(8635,8642) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8635
5 | 8635 |
11 | 1727 |
157 | 157 |
1 |
Prime factors of 8635 are 5,11,157. Prime factorization of 8635 in exponential form is:
8635 = 51×111×1571
Prime Factorization of 8642
2 | 8642 |
29 | 4321 |
149 | 149 |
1 |
Prime factors of 8642 are 2,29,149. Prime factorization of 8642 in exponential form is:
8642 = 21×291×1491
∴ So by taking common prime factors GCF of 8635 and 8642 is 1
Factors of 8635
List of positive integer factors of 8635 that divides 8635 without a remainder.
1,5,11,55,157,785,1727,8635
Factors of 8642
List of positive integer factors of 8642 that divides 8642 without a remainder.
1,2,29,58,149,298,4321,8642
Greatest Common Factor
We found the factors and prime factorization of 8635 and 8642. The biggest common factor number is the GCF number.
So the greatest common factor 8635 and 8642 is 1.
Also check out the Least Common Multiple of 8635 and 8642
(i) The GCF of 8635 and 8642 is associative
GCF of 8635 and 8642 = GCF of 8642 and 8635
1. What is the GCF of 8635 and 8642?
Answer: GCF of 8635 and 8642 is 1.
2. What are the Factors of 8635?
Answer: Factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635. There are 8 integers that are factors of 8635. The greatest factor of 8635 is 8635.
3. What are the Factors of 8642?
Answer: Factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642. There are 8 integers that are factors of 8642. The greatest factor of 8642 is 8642.
4. How to Find the GCF of 8635 and 8642?
Answer:
Greatest Common Factor of 8635 and 8642 = 1
Step 1: Find the prime factorization of 8635
8635 = 5 x 11 x 157
Step 2: Find the prime factorization of 8642
8642 = 2 x 29 x 149
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 8635 and 8642 is 1