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 8139, 8140 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8139 and 8140 is 1.
GCF(8139,8140) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8139
3 | 8139 |
2713 | 2713 |
1 |
Prime factors of 8139 are 3,2713. Prime factorization of 8139 in exponential form is:
8139 = 31×27131
Prime Factorization of 8140
2 | 8140 |
2 | 4070 |
5 | 2035 |
11 | 407 |
37 | 37 |
1 |
Prime factors of 8140 are 2,5,11,37. Prime factorization of 8140 in exponential form is:
8140 = 22×51×111×371
∴ So by taking common prime factors GCF of 8139 and 8140 is 1
Factors of 8139
List of positive integer factors of 8139 that divides 8139 without a remainder.
1,3,2713,8139
Factors of 8140
List of positive integer factors of 8140 that divides 8140 without a remainder.
1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140
Greatest Common Factor
We found the factors and prime factorization of 8139 and 8140. The biggest common factor number is the GCF number.
So the greatest common factor 8139 and 8140 is 1.
Also check out the Least Common Multiple of 8139 and 8140
(i) The GCF of 8139 and 8140 is associative
GCF of 8139 and 8140 = GCF of 8140 and 8139
1. What is the GCF of 8139 and 8140?
Answer: GCF of 8139 and 8140 is 1.
2. What are the Factors of 8139?
Answer: Factors of 8139 are 1, 3, 2713, 8139. There are 4 integers that are factors of 8139. The greatest factor of 8139 is 8139.
3. What are the Factors of 8140?
Answer: Factors of 8140 are 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140. There are 24 integers that are factors of 8140. The greatest factor of 8140 is 8140.
4. How to Find the GCF of 8139 and 8140?
Answer:
Greatest Common Factor of 8139 and 8140 = 1
Step 1: Find the prime factorization of 8139
8139 = 3 x 2713
Step 2: Find the prime factorization of 8140
8140 = 2 x 2 x 5 x 11 x 37
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 8139 and 8140 is 1