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 8732, 8740 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8732 and 8740 is 4.
GCF(8732,8740) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8732
2 | 8732 |
2 | 4366 |
37 | 2183 |
59 | 59 |
1 |
Prime factors of 8732 are 2,37,59. Prime factorization of 8732 in exponential form is:
8732 = 22×371×591
Prime Factorization of 8740
2 | 8740 |
2 | 4370 |
5 | 2185 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 8740 are 2,5,19,23. Prime factorization of 8740 in exponential form is:
8740 = 22×51×191×231
∴ So by taking common prime factors GCF of 8732 and 8740 is 4
Factors of 8732
List of positive integer factors of 8732 that divides 8732 without a remainder.
1,2,4,37,59,74,118,148,236,2183,4366,8732
Factors of 8740
List of positive integer factors of 8740 that divides 8740 without a remainder.
1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740
Greatest Common Factor
We found the factors and prime factorization of 8732 and 8740. The biggest common factor number is the GCF number.
So the greatest common factor 8732 and 8740 is 4.
Also check out the Least Common Multiple of 8732 and 8740
(i) The GCF of 8732 and 8740 is associative
GCF of 8732 and 8740 = GCF of 8740 and 8732
1. What is the GCF of 8732 and 8740?
Answer: GCF of 8732 and 8740 is 4.
2. What are the Factors of 8732?
Answer: Factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732. There are 12 integers that are factors of 8732. The greatest factor of 8732 is 8732.
3. What are the Factors of 8740?
Answer: Factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740. There are 24 integers that are factors of 8740. The greatest factor of 8740 is 8740.
4. How to Find the GCF of 8732 and 8740?
Answer:
Greatest Common Factor of 8732 and 8740 = 4
Step 1: Find the prime factorization of 8732
8732 = 2 x 2 x 37 x 59
Step 2: Find the prime factorization of 8740
8740 = 2 x 2 x 5 x 19 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 8732 and 8740 is 4