Greatest Common Factor of 5874 and 5877

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 5874, 5877 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5874 and 5877 is 3.

GCF(5874,5877) = 3

GCF of 5874 and 5877

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

GCF of:
and

Greatest Common Factor of 5874 and 5877

GCF of 5874 and 5877 is 3

Prime Factorization of 5874


2 5874
3 2937
11 979
89 89
1

Prime factors of 5874 are 2,3,11,89. Prime factorization of 5874 in exponential form is:

5874 = 21×31×111×891

Prime Factorization of 5877


3 5877
3 1959
653 653
1

Prime factors of 5877 are 3,653. Prime factorization of 5877 in exponential form is:

5877 = 32×6531

∴ So by taking common prime factors GCF of 5874 and 5877 is 3

Greatest Common Factor of 5874 and 5877 by matching factors method

Factors of 5874

List of positive integer factors of 5874 that divides 5874 without a remainder.

1,2,3,6,11,22,33,66,89,178,267,534,979,1958,2937,5874

Factors of 5877

List of positive integer factors of 5877 that divides 5877 without a remainder.

1,3,9,653,1959,5877

Greatest Common Factor

We found the factors and prime factorization of 5874 and 5877. The biggest common factor number is the GCF number.
So the greatest common factor 5874 and 5877 is 3.

Also check out the Least Common Multiple of 5874 and 5877

Properties of GCF 5874 and 5877

(i) The GCF of 5874 and 5877 is associative

GCF of 5874 and 5877 = GCF of 5877 and 5874

Related Greatest Common Factor of 5874

Related Greatest Common Factor of 5877

Frequently Asked Questions on GCF of 5874 and 5877

1. What is the GCF of 5874 and 5877?

Answer: GCF of 5874 and 5877 is 3.

2. What are the Factors of 5874?

Answer: Factors of 5874 are 1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874. There are 16 integers that are factors of 5874. The greatest factor of 5874 is 5874.

3. What are the Factors of 5877?

Answer: Factors of 5877 are 1, 3, 9, 653, 1959, 5877. There are 6 integers that are factors of 5877. The greatest factor of 5877 is 5877.

4. How to Find the GCF of 5874 and 5877?

Answer:

Greatest Common Factor of 5874 and 5877 = 3

Step 1: Find the prime factorization of 5874

5874 = 2 x 3 x 11 x 89

Step 2: Find the prime factorization of 5877

5877 = 3 x 3 x 653

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 5874 and 5877 is 3