Greatest Common Factor of 4692 and 4699

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 4692, 4699 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4692 and 4699 is 1.

GCF(4692,4699) = 1

GCF of 4692 and 4699

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4692 and 4699

GCF of 4692 and 4699 is 1

Prime Factorization of 4692


2 4692
2 2346
3 1173
17 391
23 23
1

Prime factors of 4692 are 2,3,17,23. Prime factorization of 4692 in exponential form is:

4692 = 22×31×171×231

Prime Factorization of 4699


37 4699
127 127
1

Prime factors of 4699 are 37,127. Prime factorization of 4699 in exponential form is:

4699 = 371×1271

∴ So by taking common prime factors GCF of 4692 and 4699 is 1

Greatest Common Factor of 4692 and 4699 by matching factors method

Factors of 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692

Factors of 4699

List of positive integer factors of 4699 that divides 4699 without a remainder.

1,37,127,4699

Greatest Common Factor

We found the factors and prime factorization of 4692 and 4699. The biggest common factor number is the GCF number.
So the greatest common factor 4692 and 4699 is 1.

Also check out the Least Common Multiple of 4692 and 4699

Properties of GCF 4692 and 4699

(i) The GCF of 4692 and 4699 is associative

GCF of 4692 and 4699 = GCF of 4699 and 4692

Related Greatest Common Factor of 4692

Related Greatest Common Factor of 4699

Frequently Asked Questions on GCF of 4692 and 4699

1. What is the GCF of 4692 and 4699?

Answer: GCF of 4692 and 4699 is 1.

2. What are the Factors of 4692?

Answer: Factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692. There are 24 integers that are factors of 4692. The greatest factor of 4692 is 4692.

3. What are the Factors of 4699?

Answer: Factors of 4699 are 1, 37, 127, 4699. There are 4 integers that are factors of 4699. The greatest factor of 4699 is 4699.

4. How to Find the GCF of 4692 and 4699?

Answer:

Greatest Common Factor of 4692 and 4699 = 1

Step 1: Find the prime factorization of 4692

4692 = 2 x 2 x 3 x 17 x 23

Step 2: Find the prime factorization of 4699

4699 = 37 x 127

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 4692 and 4699 is 1