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 8724, 8726 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8724 and 8726 is 2.
GCF(8724,8726) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8724
2 | 8724 |
2 | 4362 |
3 | 2181 |
727 | 727 |
1 |
Prime factors of 8724 are 2,3,727. Prime factorization of 8724 in exponential form is:
8724 = 22×31×7271
Prime Factorization of 8726
2 | 8726 |
4363 | 4363 |
1 |
Prime factors of 8726 are 2,4363. Prime factorization of 8726 in exponential form is:
8726 = 21×43631
∴ So by taking common prime factors GCF of 8724 and 8726 is 2
Factors of 8724
List of positive integer factors of 8724 that divides 8724 without a remainder.
1,2,3,4,6,12,727,1454,2181,2908,4362,8724
Factors of 8726
List of positive integer factors of 8726 that divides 8726 without a remainder.
1,2,4363,8726
Greatest Common Factor
We found the factors and prime factorization of 8724 and 8726. The biggest common factor number is the GCF number.
So the greatest common factor 8724 and 8726 is 2.
Also check out the Least Common Multiple of 8724 and 8726
(i) The GCF of 8724 and 8726 is associative
GCF of 8724 and 8726 = GCF of 8726 and 8724
1. What is the GCF of 8724 and 8726?
Answer: GCF of 8724 and 8726 is 2.
2. What are the Factors of 8724?
Answer: Factors of 8724 are 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724. There are 12 integers that are factors of 8724. The greatest factor of 8724 is 8724.
3. What are the Factors of 8726?
Answer: Factors of 8726 are 1, 2, 4363, 8726. There are 4 integers that are factors of 8726. The greatest factor of 8726 is 8726.
4. How to Find the GCF of 8724 and 8726?
Answer:
Greatest Common Factor of 8724 and 8726 = 2
Step 1: Find the prime factorization of 8724
8724 = 2 x 2 x 3 x 727
Step 2: Find the prime factorization of 8726
8726 = 2 x 4363
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 8724 and 8726 is 2