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 4617, 4622 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4617 and 4622 is 1.
GCF(4617,4622) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4617
3 | 4617 |
3 | 1539 |
3 | 513 |
3 | 171 |
3 | 57 |
19 | 19 |
1 |
Prime factors of 4617 are 3,19. Prime factorization of 4617 in exponential form is:
4617 = 35×191
Prime Factorization of 4622
2 | 4622 |
2311 | 2311 |
1 |
Prime factors of 4622 are 2,2311. Prime factorization of 4622 in exponential form is:
4622 = 21×23111
∴ So by taking common prime factors GCF of 4617 and 4622 is 1
Factors of 4617
List of positive integer factors of 4617 that divides 4617 without a remainder.
1,3,9,19,27,57,81,171,243,513,1539,4617
Factors of 4622
List of positive integer factors of 4622 that divides 4622 without a remainder.
1,2,2311,4622
Greatest Common Factor
We found the factors and prime factorization of 4617 and 4622. The biggest common factor number is the GCF number.
So the greatest common factor 4617 and 4622 is 1.
Also check out the Least Common Multiple of 4617 and 4622
(i) The GCF of 4617 and 4622 is associative
GCF of 4617 and 4622 = GCF of 4622 and 4617
1. What is the GCF of 4617 and 4622?
Answer: GCF of 4617 and 4622 is 1.
2. What are the Factors of 4617?
Answer: Factors of 4617 are 1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617. There are 12 integers that are factors of 4617. The greatest factor of 4617 is 4617.
3. What are the Factors of 4622?
Answer: Factors of 4622 are 1, 2, 2311, 4622. There are 4 integers that are factors of 4622. The greatest factor of 4622 is 4622.
4. How to Find the GCF of 4617 and 4622?
Answer:
Greatest Common Factor of 4617 and 4622 = 1
Step 1: Find the prime factorization of 4617
4617 = 3 x 3 x 3 x 3 x 3 x 19
Step 2: Find the prime factorization of 4622
4622 = 2 x 2311
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 4617 and 4622 is 1