Greatest Common Factor of 1862 and 1868

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 1862, 1868 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1862 and 1868 is 2.

GCF(1862,1868) = 2

GCF of 1862 and 1868

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

GCF of:
and

Greatest Common Factor of 1862 and 1868

GCF of 1862 and 1868 is 2

Prime Factorization of 1862


2 1862
7 931
7 133
19 19
1

Prime factors of 1862 are 2,7,19. Prime factorization of 1862 in exponential form is:

1862 = 21×72×191

Prime Factorization of 1868


2 1868
2 934
467 467
1

Prime factors of 1868 are 2,467. Prime factorization of 1868 in exponential form is:

1868 = 22×4671

∴ So by taking common prime factors GCF of 1862 and 1868 is 2

Greatest Common Factor of 1862 and 1868 by matching factors method

Factors of 1862

List of positive integer factors of 1862 that divides 1862 without a remainder.

1,2,7,14,19,38,49,98,133,266,931,1862

Factors of 1868

List of positive integer factors of 1868 that divides 1868 without a remainder.

1,2,4,467,934,1868

Greatest Common Factor

We found the factors and prime factorization of 1862 and 1868. The biggest common factor number is the GCF number.
So the greatest common factor 1862 and 1868 is 2.

Also check out the Least Common Multiple of 1862 and 1868

Properties of GCF 1862 and 1868

(i) The GCF of 1862 and 1868 is associative

GCF of 1862 and 1868 = GCF of 1868 and 1862

Related Greatest Common Factor of 1862

Related Greatest Common Factor of 1868

Frequently Asked Questions on GCF of 1862 and 1868

1. What is the GCF of 1862 and 1868?

Answer: GCF of 1862 and 1868 is 2.

2. What are the Factors of 1862?

Answer: Factors of 1862 are 1, 2, 7, 14, 19, 38, 49, 98, 133, 266, 931, 1862. There are 12 integers that are factors of 1862. The greatest factor of 1862 is 1862.

3. What are the Factors of 1868?

Answer: Factors of 1868 are 1, 2, 4, 467, 934, 1868. There are 6 integers that are factors of 1868. The greatest factor of 1868 is 1868.

4. How to Find the GCF of 1862 and 1868?

Answer:

Greatest Common Factor of 1862 and 1868 = 2

Step 1: Find the prime factorization of 1862

1862 = 2 x 7 x 7 x 19

Step 2: Find the prime factorization of 1868

1868 = 2 x 2 x 467

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1862 and 1868 is 2