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 4714, 4722 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4714 and 4722 is 2.
GCF(4714,4722) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4714
2 | 4714 |
2357 | 2357 |
1 |
Prime factors of 4714 are 2,2357. Prime factorization of 4714 in exponential form is:
4714 = 21×23571
Prime Factorization of 4722
2 | 4722 |
3 | 2361 |
787 | 787 |
1 |
Prime factors of 4722 are 2,3,787. Prime factorization of 4722 in exponential form is:
4722 = 21×31×7871
∴ So by taking common prime factors GCF of 4714 and 4722 is 2
Factors of 4714
List of positive integer factors of 4714 that divides 4714 without a remainder.
1,2,2357,4714
Factors of 4722
List of positive integer factors of 4722 that divides 4722 without a remainder.
1,2,3,6,787,1574,2361,4722
Greatest Common Factor
We found the factors and prime factorization of 4714 and 4722. The biggest common factor number is the GCF number.
So the greatest common factor 4714 and 4722 is 2.
Also check out the Least Common Multiple of 4714 and 4722
(i) The GCF of 4714 and 4722 is associative
GCF of 4714 and 4722 = GCF of 4722 and 4714
1. What is the GCF of 4714 and 4722?
Answer: GCF of 4714 and 4722 is 2.
2. What are the Factors of 4714?
Answer: Factors of 4714 are 1, 2, 2357, 4714. There are 4 integers that are factors of 4714. The greatest factor of 4714 is 4714.
3. What are the Factors of 4722?
Answer: Factors of 4722 are 1, 2, 3, 6, 787, 1574, 2361, 4722. There are 8 integers that are factors of 4722. The greatest factor of 4722 is 4722.
4. How to Find the GCF of 4714 and 4722?
Answer:
Greatest Common Factor of 4714 and 4722 = 2
Step 1: Find the prime factorization of 4714
4714 = 2 x 2357
Step 2: Find the prime factorization of 4722
4722 = 2 x 3 x 787
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 4714 and 4722 is 2