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 8636, 8641 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8636 and 8641 is 1.
GCF(8636,8641) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8636
2 | 8636 |
2 | 4318 |
17 | 2159 |
127 | 127 |
1 |
Prime factors of 8636 are 2,17,127. Prime factorization of 8636 in exponential form is:
8636 = 22×171×1271
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 8636 and 8641 is 1
Factors of 8636
List of positive integer factors of 8636 that divides 8636 without a remainder.
1,2,4,17,34,68,127,254,508,2159,4318,8636
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 8636 and 8641. The biggest common factor number is the GCF number.
So the greatest common factor 8636 and 8641 is 1.
Also check out the Least Common Multiple of 8636 and 8641
(i) The GCF of 8636 and 8641 is associative
GCF of 8636 and 8641 = GCF of 8641 and 8636
1. What is the GCF of 8636 and 8641?
Answer: GCF of 8636 and 8641 is 1.
2. What are the Factors of 8636?
Answer: Factors of 8636 are 1, 2, 4, 17, 34, 68, 127, 254, 508, 2159, 4318, 8636. There are 12 integers that are factors of 8636. The greatest factor of 8636 is 8636.
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 8636 and 8641?
Answer:
Greatest Common Factor of 8636 and 8641 = 1
Step 1: Find the prime factorization of 8636
8636 = 2 x 2 x 17 x 127
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 8636 and 8641 is 1