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 8749, 8752 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8749 and 8752 is 1.
GCF(8749,8752) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8749
13 | 8749 |
673 | 673 |
1 |
Prime factors of 8749 are 13,673. Prime factorization of 8749 in exponential form is:
8749 = 131×6731
Prime Factorization of 8752
2 | 8752 |
2 | 4376 |
2 | 2188 |
2 | 1094 |
547 | 547 |
1 |
Prime factors of 8752 are 2,547. Prime factorization of 8752 in exponential form is:
8752 = 24×5471
∴ So by taking common prime factors GCF of 8749 and 8752 is 1
Factors of 8749
List of positive integer factors of 8749 that divides 8749 without a remainder.
1,13,673,8749
Factors of 8752
List of positive integer factors of 8752 that divides 8752 without a remainder.
1,2,4,8,16,547,1094,2188,4376,8752
Greatest Common Factor
We found the factors and prime factorization of 8749 and 8752. The biggest common factor number is the GCF number.
So the greatest common factor 8749 and 8752 is 1.
Also check out the Least Common Multiple of 8749 and 8752
(i) The GCF of 8749 and 8752 is associative
GCF of 8749 and 8752 = GCF of 8752 and 8749
1. What is the GCF of 8749 and 8752?
Answer: GCF of 8749 and 8752 is 1.
2. What are the Factors of 8749?
Answer: Factors of 8749 are 1, 13, 673, 8749. There are 4 integers that are factors of 8749. The greatest factor of 8749 is 8749.
3. What are the Factors of 8752?
Answer: Factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752. There are 10 integers that are factors of 8752. The greatest factor of 8752 is 8752.
4. How to Find the GCF of 8749 and 8752?
Answer:
Greatest Common Factor of 8749 and 8752 = 1
Step 1: Find the prime factorization of 8749
8749 = 13 x 673
Step 2: Find the prime factorization of 8752
8752 = 2 x 2 x 2 x 2 x 547
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 8749 and 8752 is 1