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 7622, 7627 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7622 and 7627 is 1.
GCF(7622,7627) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7622
2 | 7622 |
37 | 3811 |
103 | 103 |
1 |
Prime factors of 7622 are 2,37,103. Prime factorization of 7622 in exponential form is:
7622 = 21×371×1031
Prime Factorization of 7627
29 | 7627 |
263 | 263 |
1 |
Prime factors of 7627 are 29,263. Prime factorization of 7627 in exponential form is:
7627 = 291×2631
∴ So by taking common prime factors GCF of 7622 and 7627 is 1
Factors of 7622
List of positive integer factors of 7622 that divides 7622 without a remainder.
1,2,37,74,103,206,3811,7622
Factors of 7627
List of positive integer factors of 7627 that divides 7627 without a remainder.
1,29,263,7627
Greatest Common Factor
We found the factors and prime factorization of 7622 and 7627. The biggest common factor number is the GCF number.
So the greatest common factor 7622 and 7627 is 1.
Also check out the Least Common Multiple of 7622 and 7627
(i) The GCF of 7622 and 7627 is associative
GCF of 7622 and 7627 = GCF of 7627 and 7622
1. What is the GCF of 7622 and 7627?
Answer: GCF of 7622 and 7627 is 1.
2. What are the Factors of 7622?
Answer: Factors of 7622 are 1, 2, 37, 74, 103, 206, 3811, 7622. There are 8 integers that are factors of 7622. The greatest factor of 7622 is 7622.
3. What are the Factors of 7627?
Answer: Factors of 7627 are 1, 29, 263, 7627. There are 4 integers that are factors of 7627. The greatest factor of 7627 is 7627.
4. How to Find the GCF of 7622 and 7627?
Answer:
Greatest Common Factor of 7622 and 7627 = 1
Step 1: Find the prime factorization of 7622
7622 = 2 x 37 x 103
Step 2: Find the prime factorization of 7627
7627 = 29 x 263
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 7622 and 7627 is 1