Greatest Common Factor of 4667 and 4668

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 4667, 4668 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4667 and 4668 is 1.

GCF(4667,4668) = 1

GCF of 4667 and 4668

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

GCF of:
and

Greatest Common Factor of 4667 and 4668

GCF of 4667 and 4668 is 1

Prime Factorization of 4667


13 4667
359 359
1

Prime factors of 4667 are 13,359. Prime factorization of 4667 in exponential form is:

4667 = 131×3591

Prime Factorization of 4668


2 4668
2 2334
3 1167
389 389
1

Prime factors of 4668 are 2,3,389. Prime factorization of 4668 in exponential form is:

4668 = 22×31×3891

∴ So by taking common prime factors GCF of 4667 and 4668 is 1

Greatest Common Factor of 4667 and 4668 by matching factors method

Factors of 4667

List of positive integer factors of 4667 that divides 4667 without a remainder.

1,13,359,4667

Factors of 4668

List of positive integer factors of 4668 that divides 4668 without a remainder.

1,2,3,4,6,12,389,778,1167,1556,2334,4668

Greatest Common Factor

We found the factors and prime factorization of 4667 and 4668. The biggest common factor number is the GCF number.
So the greatest common factor 4667 and 4668 is 1.

Also check out the Least Common Multiple of 4667 and 4668

Properties of GCF 4667 and 4668

(i) The GCF of 4667 and 4668 is associative

GCF of 4667 and 4668 = GCF of 4668 and 4667

Frequently Asked Questions on GCF of 4667 and 4668

1. What is the GCF of 4667 and 4668?

Answer: GCF of 4667 and 4668 is 1.

2. What are the Factors of 4667?

Answer: Factors of 4667 are 1, 13, 359, 4667. There are 4 integers that are factors of 4667. The greatest factor of 4667 is 4667.

3. What are the Factors of 4668?

Answer: Factors of 4668 are 1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668. There are 12 integers that are factors of 4668. The greatest factor of 4668 is 4668.

4. How to Find the GCF of 4667 and 4668?

Answer:

Greatest Common Factor of 4667 and 4668 = 1

Step 1: Find the prime factorization of 4667

4667 = 13 x 359

Step 2: Find the prime factorization of 4668

4668 = 2 x 2 x 3 x 389

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 4667 and 4668 is 1