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 7638, 7643 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7638 and 7643 is 1.
GCF(7638,7643) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7638
2 | 7638 |
3 | 3819 |
19 | 1273 |
67 | 67 |
1 |
Prime factors of 7638 are 2,3,19,67. Prime factorization of 7638 in exponential form is:
7638 = 21×31×191×671
Prime Factorization of 7643
7643 | 7643 |
1 |
Prime factors of 7643 are 7643. Prime factorization of 7643 in exponential form is:
7643 = 76431
∴ So by taking common prime factors GCF of 7638 and 7643 is 1
Factors of 7638
List of positive integer factors of 7638 that divides 7638 without a remainder.
1,2,3,6,19,38,57,67,114,134,201,402,1273,2546,3819,7638
Factors of 7643
List of positive integer factors of 7643 that divides 7643 without a remainder.
1,7643
Greatest Common Factor
We found the factors and prime factorization of 7638 and 7643. The biggest common factor number is the GCF number.
So the greatest common factor 7638 and 7643 is 1.
Also check out the Least Common Multiple of 7638 and 7643
(i) The GCF of 7638 and 7643 is associative
GCF of 7638 and 7643 = GCF of 7643 and 7638
1. What is the GCF of 7638 and 7643?
Answer: GCF of 7638 and 7643 is 1.
2. What are the Factors of 7638?
Answer: Factors of 7638 are 1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638. There are 16 integers that are factors of 7638. The greatest factor of 7638 is 7638.
3. What are the Factors of 7643?
Answer: Factors of 7643 are 1, 7643. There are 2 integers that are factors of 7643. The greatest factor of 7643 is 7643.
4. How to Find the GCF of 7638 and 7643?
Answer:
Greatest Common Factor of 7638 and 7643 = 1
Step 1: Find the prime factorization of 7638
7638 = 2 x 3 x 19 x 67
Step 2: Find the prime factorization of 7643
7643 = 7643
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 7638 and 7643 is 1