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 8740, 8742 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8740 and 8742 is 2.
GCF(8740,8742) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8742
2 | 8742 |
3 | 4371 |
31 | 1457 |
47 | 47 |
1 |
Prime factors of 8742 are 2,3,31,47. Prime factorization of 8742 in exponential form is:
8742 = 21×31×311×471
∴ So by taking common prime factors GCF of 8740 and 8742 is 2
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
Factors of 8742
List of positive integer factors of 8742 that divides 8742 without a remainder.
1,2,3,6,31,47,62,93,94,141,186,282,1457,2914,4371,8742
Greatest Common Factor
We found the factors and prime factorization of 8740 and 8742. The biggest common factor number is the GCF number.
So the greatest common factor 8740 and 8742 is 2.
Also check out the Least Common Multiple of 8740 and 8742
(i) The GCF of 8740 and 8742 is associative
GCF of 8740 and 8742 = GCF of 8742 and 8740
1. What is the GCF of 8740 and 8742?
Answer: GCF of 8740 and 8742 is 2.
2. 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.
3. What are the Factors of 8742?
Answer: Factors of 8742 are 1, 2, 3, 6, 31, 47, 62, 93, 94, 141, 186, 282, 1457, 2914, 4371, 8742. There are 16 integers that are factors of 8742. The greatest factor of 8742 is 8742.
4. How to Find the GCF of 8740 and 8742?
Answer:
Greatest Common Factor of 8740 and 8742 = 2
Step 1: Find the prime factorization of 8740
8740 = 2 x 2 x 5 x 19 x 23
Step 2: Find the prime factorization of 8742
8742 = 2 x 3 x 31 x 47
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 8740 and 8742 is 2