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 8638, 8639 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8638 and 8639 is 1.
GCF(8638,8639) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8638
2 | 8638 |
7 | 4319 |
617 | 617 |
1 |
Prime factors of 8638 are 2,7,617. Prime factorization of 8638 in exponential form is:
8638 = 21×71×6171
Prime Factorization of 8639
53 | 8639 |
163 | 163 |
1 |
Prime factors of 8639 are 53,163. Prime factorization of 8639 in exponential form is:
8639 = 531×1631
∴ So by taking common prime factors GCF of 8638 and 8639 is 1
Factors of 8638
List of positive integer factors of 8638 that divides 8638 without a remainder.
1,2,7,14,617,1234,4319,8638
Factors of 8639
List of positive integer factors of 8639 that divides 8639 without a remainder.
1,53,163,8639
Greatest Common Factor
We found the factors and prime factorization of 8638 and 8639. The biggest common factor number is the GCF number.
So the greatest common factor 8638 and 8639 is 1.
Also check out the Least Common Multiple of 8638 and 8639
(i) The GCF of 8638 and 8639 is associative
GCF of 8638 and 8639 = GCF of 8639 and 8638
1. What is the GCF of 8638 and 8639?
Answer: GCF of 8638 and 8639 is 1.
2. What are the Factors of 8638?
Answer: Factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638. There are 8 integers that are factors of 8638. The greatest factor of 8638 is 8638.
3. What are the Factors of 8639?
Answer: Factors of 8639 are 1, 53, 163, 8639. There are 4 integers that are factors of 8639. The greatest factor of 8639 is 8639.
4. How to Find the GCF of 8638 and 8639?
Answer:
Greatest Common Factor of 8638 and 8639 = 1
Step 1: Find the prime factorization of 8638
8638 = 2 x 7 x 617
Step 2: Find the prime factorization of 8639
8639 = 53 x 163
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 8638 and 8639 is 1