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 8536, 8541 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8536 and 8541 is 1.
GCF(8536,8541) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8536
2 | 8536 |
2 | 4268 |
2 | 2134 |
11 | 1067 |
97 | 97 |
1 |
Prime factors of 8536 are 2,11,97. Prime factorization of 8536 in exponential form is:
8536 = 23×111×971
Prime Factorization of 8541
3 | 8541 |
3 | 2847 |
13 | 949 |
73 | 73 |
1 |
Prime factors of 8541 are 3,13,73. Prime factorization of 8541 in exponential form is:
8541 = 32×131×731
∴ So by taking common prime factors GCF of 8536 and 8541 is 1
Factors of 8536
List of positive integer factors of 8536 that divides 8536 without a remainder.
1,2,4,8,11,22,44,88,97,194,388,776,1067,2134,4268,8536
Factors of 8541
List of positive integer factors of 8541 that divides 8541 without a remainder.
1,3,9,13,39,73,117,219,657,949,2847,8541
Greatest Common Factor
We found the factors and prime factorization of 8536 and 8541. The biggest common factor number is the GCF number.
So the greatest common factor 8536 and 8541 is 1.
Also check out the Least Common Multiple of 8536 and 8541
(i) The GCF of 8536 and 8541 is associative
GCF of 8536 and 8541 = GCF of 8541 and 8536
1. What is the GCF of 8536 and 8541?
Answer: GCF of 8536 and 8541 is 1.
2. What are the Factors of 8536?
Answer: Factors of 8536 are 1, 2, 4, 8, 11, 22, 44, 88, 97, 194, 388, 776, 1067, 2134, 4268, 8536. There are 16 integers that are factors of 8536. The greatest factor of 8536 is 8536.
3. What are the Factors of 8541?
Answer: Factors of 8541 are 1, 3, 9, 13, 39, 73, 117, 219, 657, 949, 2847, 8541. There are 12 integers that are factors of 8541. The greatest factor of 8541 is 8541.
4. How to Find the GCF of 8536 and 8541?
Answer:
Greatest Common Factor of 8536 and 8541 = 1
Step 1: Find the prime factorization of 8536
8536 = 2 x 2 x 2 x 11 x 97
Step 2: Find the prime factorization of 8541
8541 = 3 x 3 x 13 x 73
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 8536 and 8541 is 1