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 8754, 8762 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8754 and 8762 is 2.
GCF(8754,8762) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8754
2 | 8754 |
3 | 4377 |
1459 | 1459 |
1 |
Prime factors of 8754 are 2,3,1459. Prime factorization of 8754 in exponential form is:
8754 = 21×31×14591
Prime Factorization of 8762
2 | 8762 |
13 | 4381 |
337 | 337 |
1 |
Prime factors of 8762 are 2,13,337. Prime factorization of 8762 in exponential form is:
8762 = 21×131×3371
∴ So by taking common prime factors GCF of 8754 and 8762 is 2
Factors of 8754
List of positive integer factors of 8754 that divides 8754 without a remainder.
1,2,3,6,1459,2918,4377,8754
Factors of 8762
List of positive integer factors of 8762 that divides 8762 without a remainder.
1,2,13,26,337,674,4381,8762
Greatest Common Factor
We found the factors and prime factorization of 8754 and 8762. The biggest common factor number is the GCF number.
So the greatest common factor 8754 and 8762 is 2.
Also check out the Least Common Multiple of 8754 and 8762
(i) The GCF of 8754 and 8762 is associative
GCF of 8754 and 8762 = GCF of 8762 and 8754
1. What is the GCF of 8754 and 8762?
Answer: GCF of 8754 and 8762 is 2.
2. What are the Factors of 8754?
Answer: Factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754. There are 8 integers that are factors of 8754. The greatest factor of 8754 is 8754.
3. What are the Factors of 8762?
Answer: Factors of 8762 are 1, 2, 13, 26, 337, 674, 4381, 8762. There are 8 integers that are factors of 8762. The greatest factor of 8762 is 8762.
4. How to Find the GCF of 8754 and 8762?
Answer:
Greatest Common Factor of 8754 and 8762 = 2
Step 1: Find the prime factorization of 8754
8754 = 2 x 3 x 1459
Step 2: Find the prime factorization of 8762
8762 = 2 x 13 x 337
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 8754 and 8762 is 2