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 922, 930 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 922 and 930 is 2.
GCF(922,930) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 922
2 | 922 |
461 | 461 |
1 |
Prime factors of 922 are 2,461. Prime factorization of 922 in exponential form is:
922 = 21×4611
Prime Factorization of 930
2 | 930 |
3 | 465 |
5 | 155 |
31 | 31 |
1 |
Prime factors of 930 are 2,3,5,31. Prime factorization of 930 in exponential form is:
930 = 21×31×51×311
∴ So by taking common prime factors GCF of 922 and 930 is 2
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors and prime factorization of 922 and 930. The biggest common factor number is the GCF number.
So the greatest common factor 922 and 930 is 2.
Also check out the Least Common Multiple of 922 and 930
(i) The GCF of 922 and 930 is associative
GCF of 922 and 930 = GCF of 930 and 922
1. What is the GCF of 922 and 930?
Answer: GCF of 922 and 930 is 2.
2. What are the Factors of 922?
Answer: Factors of 922 are 1, 2, 461, 922. There are 4 integers that are factors of 922. The greatest factor of 922 is 922.
3. What are the Factors of 930?
Answer: Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930. There are 16 integers that are factors of 930. The greatest factor of 930 is 930.
4. How to Find the GCF of 922 and 930?
Answer:
Greatest Common Factor of 922 and 930 = 2
Step 1: Find the prime factorization of 922
922 = 2 x 461
Step 2: Find the prime factorization of 930
930 = 2 x 3 x 5 x 31
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 922 and 930 is 2