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 8638, 8641 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8638 and 8641 is 1.
GCF(8638,8641) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8638
2 | 8638 |
7 | 4319 |
617 | 617 |
1 |
Prime factors of 8638 are 2,7,617. Prime factorization of 8638 in exponential form is:
8638 = 21×71×6171
Prime Factorization of 8641
8641 | 8641 |
1 |
Prime factors of 8641 are 8641. Prime factorization of 8641 in exponential form is:
8641 = 86411
∴ So by taking common prime factors GCF of 8638 and 8641 is 1
Factors of 8638
List of positive integer factors of 8638 that divides 8638 without a remainder.
1,2,7,14,617,1234,4319,8638
Factors of 8641
List of positive integer factors of 8641 that divides 8641 without a remainder.
1,8641
Greatest Common Factor
We found the factors and prime factorization of 8638 and 8641. The biggest common factor number is the GCF number.
So the greatest common factor 8638 and 8641 is 1.
Also check out the Least Common Multiple of 8638 and 8641
(i) The GCF of 8638 and 8641 is associative
GCF of 8638 and 8641 = GCF of 8641 and 8638
1. What is the GCF of 8638 and 8641?
Answer: GCF of 8638 and 8641 is 1.
2. What are the Factors of 8638?
Answer: Factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638. There are 8 integers that are factors of 8638. The greatest factor of 8638 is 8638.
3. What are the Factors of 8641?
Answer: Factors of 8641 are 1, 8641. There are 2 integers that are factors of 8641. The greatest factor of 8641 is 8641.
4. How to Find the GCF of 8638 and 8641?
Answer:
Greatest Common Factor of 8638 and 8641 = 1
Step 1: Find the prime factorization of 8638
8638 = 2 x 7 x 617
Step 2: Find the prime factorization of 8641
8641 = 8641
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 8638 and 8641 is 1