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 6620, 6622 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6620 and 6622 is 2.
GCF(6620,6622) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6620
2 | 6620 |
2 | 3310 |
5 | 1655 |
331 | 331 |
1 |
Prime factors of 6620 are 2,5,331. Prime factorization of 6620 in exponential form is:
6620 = 22×51×3311
Prime Factorization of 6622
2 | 6622 |
7 | 3311 |
11 | 473 |
43 | 43 |
1 |
Prime factors of 6622 are 2,7,11,43. Prime factorization of 6622 in exponential form is:
6622 = 21×71×111×431
∴ So by taking common prime factors GCF of 6620 and 6622 is 2
Factors of 6620
List of positive integer factors of 6620 that divides 6620 without a remainder.
1,2,4,5,10,20,331,662,1324,1655,3310,6620
Factors of 6622
List of positive integer factors of 6622 that divides 6622 without a remainder.
1,2,7,11,14,22,43,77,86,154,301,473,602,946,3311,6622
Greatest Common Factor
We found the factors and prime factorization of 6620 and 6622. The biggest common factor number is the GCF number.
So the greatest common factor 6620 and 6622 is 2.
Also check out the Least Common Multiple of 6620 and 6622
(i) The GCF of 6620 and 6622 is associative
GCF of 6620 and 6622 = GCF of 6622 and 6620
1. What is the GCF of 6620 and 6622?
Answer: GCF of 6620 and 6622 is 2.
2. What are the Factors of 6620?
Answer: Factors of 6620 are 1, 2, 4, 5, 10, 20, 331, 662, 1324, 1655, 3310, 6620. There are 12 integers that are factors of 6620. The greatest factor of 6620 is 6620.
3. What are the Factors of 6622?
Answer: Factors of 6622 are 1, 2, 7, 11, 14, 22, 43, 77, 86, 154, 301, 473, 602, 946, 3311, 6622. There are 16 integers that are factors of 6622. The greatest factor of 6622 is 6622.
4. How to Find the GCF of 6620 and 6622?
Answer:
Greatest Common Factor of 6620 and 6622 = 2
Step 1: Find the prime factorization of 6620
6620 = 2 x 2 x 5 x 331
Step 2: Find the prime factorization of 6622
6622 = 2 x 7 x 11 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6620 and 6622 is 2