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 620, 622 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 620 and 622 is 2.
GCF(620,622) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 620
2 | 620 |
2 | 310 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 620 are 2,5,31. Prime factorization of 620 in exponential form is:
620 = 22×51×311
Prime Factorization of 622
2 | 622 |
311 | 311 |
1 |
Prime factors of 622 are 2,311. Prime factorization of 622 in exponential form is:
622 = 21×3111
∴ So by taking common prime factors GCF of 620 and 622 is 2
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors and prime factorization of 620 and 622. The biggest common factor number is the GCF number.
So the greatest common factor 620 and 622 is 2.
Also check out the Least Common Multiple of 620 and 622
(i) The GCF of 620 and 622 is associative
GCF of 620 and 622 = GCF of 622 and 620
1. What is the GCF of 620 and 622?
Answer: GCF of 620 and 622 is 2.
2. What are the Factors of 620?
Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.
3. What are the Factors of 622?
Answer: Factors of 622 are 1, 2, 311, 622. There are 4 integers that are factors of 622. The greatest factor of 622 is 622.
4. How to Find the GCF of 620 and 622?
Answer:
Greatest Common Factor of 620 and 622 = 2
Step 1: Find the prime factorization of 620
620 = 2 x 2 x 5 x 31
Step 2: Find the prime factorization of 622
622 = 2 x 311
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 620 and 622 is 2