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 4693, 4701 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4693 and 4701 is 1.
GCF(4693,4701) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4693
13 | 4693 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 4693 are 13,19. Prime factorization of 4693 in exponential form is:
4693 = 131×192
Prime Factorization of 4701
3 | 4701 |
1567 | 1567 |
1 |
Prime factors of 4701 are 3,1567. Prime factorization of 4701 in exponential form is:
4701 = 31×15671
∴ So by taking common prime factors GCF of 4693 and 4701 is 1
Factors of 4693
List of positive integer factors of 4693 that divides 4693 without a remainder.
1,13,19,247,361,4693
Factors of 4701
List of positive integer factors of 4701 that divides 4701 without a remainder.
1,3,1567,4701
Greatest Common Factor
We found the factors and prime factorization of 4693 and 4701. The biggest common factor number is the GCF number.
So the greatest common factor 4693 and 4701 is 1.
Also check out the Least Common Multiple of 4693 and 4701
(i) The GCF of 4693 and 4701 is associative
GCF of 4693 and 4701 = GCF of 4701 and 4693
1. What is the GCF of 4693 and 4701?
Answer: GCF of 4693 and 4701 is 1.
2. What are the Factors of 4693?
Answer: Factors of 4693 are 1, 13, 19, 247, 361, 4693. There are 6 integers that are factors of 4693. The greatest factor of 4693 is 4693.
3. What are the Factors of 4701?
Answer: Factors of 4701 are 1, 3, 1567, 4701. There are 4 integers that are factors of 4701. The greatest factor of 4701 is 4701.
4. How to Find the GCF of 4693 and 4701?
Answer:
Greatest Common Factor of 4693 and 4701 = 1
Step 1: Find the prime factorization of 4693
4693 = 13 x 19 x 19
Step 2: Find the prime factorization of 4701
4701 = 3 x 1567
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 4693 and 4701 is 1