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 4722, 4727 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4722 and 4727 is 1.
GCF(4722,4727) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 4727
29 | 4727 |
163 | 163 |
1 |
Prime factors of 4727 are 29,163. Prime factorization of 4727 in exponential form is:
4727 = 291×1631
∴ So by taking common prime factors GCF of 4722 and 4727 is 1
Factors of 4722
List of positive integer factors of 4722 that divides 4722 without a remainder.
1,2,3,6,787,1574,2361,4722
Factors of 4727
List of positive integer factors of 4727 that divides 4727 without a remainder.
1,29,163,4727
Greatest Common Factor
We found the factors and prime factorization of 4722 and 4727. The biggest common factor number is the GCF number.
So the greatest common factor 4722 and 4727 is 1.
Also check out the Least Common Multiple of 4722 and 4727
(i) The GCF of 4722 and 4727 is associative
GCF of 4722 and 4727 = GCF of 4727 and 4722
1. What is the GCF of 4722 and 4727?
Answer: GCF of 4722 and 4727 is 1.
2. 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.
3. What are the Factors of 4727?
Answer: Factors of 4727 are 1, 29, 163, 4727. There are 4 integers that are factors of 4727. The greatest factor of 4727 is 4727.
4. How to Find the GCF of 4722 and 4727?
Answer:
Greatest Common Factor of 4722 and 4727 = 1
Step 1: Find the prime factorization of 4722
4722 = 2 x 3 x 787
Step 2: Find the prime factorization of 4727
4727 = 29 x 163
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 4722 and 4727 is 1