Greatest Common Factor of 1862 and 1864

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, 1864 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1862 and 1864 is 2.

GCF(1862,1864) = 2

GCF of 1862 and 1864

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

GCF of:
and

Greatest Common Factor of 1862 and 1864

GCF of 1862 and 1864 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 1864


2 1864
2 932
2 466
233 233
1

Prime factors of 1864 are 2,233. Prime factorization of 1864 in exponential form is:

1864 = 23×2331

∴ So by taking common prime factors GCF of 1862 and 1864 is 2

Greatest Common Factor of 1862 and 1864 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 1864

List of positive integer factors of 1864 that divides 1864 without a remainder.

1,2,4,8,233,466,932,1864

Greatest Common Factor

We found the factors and prime factorization of 1862 and 1864. The biggest common factor number is the GCF number.
So the greatest common factor 1862 and 1864 is 2.

Also check out the Least Common Multiple of 1862 and 1864

Properties of GCF 1862 and 1864

(i) The GCF of 1862 and 1864 is associative

GCF of 1862 and 1864 = GCF of 1864 and 1862

Related Greatest Common Factor of 1862

Related Greatest Common Factor of 1864

Frequently Asked Questions on GCF of 1862 and 1864

1. What is the GCF of 1862 and 1864?

Answer: GCF of 1862 and 1864 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 1864?

Answer: Factors of 1864 are 1, 2, 4, 8, 233, 466, 932, 1864. There are 8 integers that are factors of 1864. The greatest factor of 1864 is 1864.

4. How to Find the GCF of 1862 and 1864?

Answer:

Greatest Common Factor of 1862 and 1864 = 2

Step 1: Find the prime factorization of 1862

1862 = 2 x 7 x 7 x 19

Step 2: Find the prime factorization of 1864

1864 = 2 x 2 x 2 x 233

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 1864 is 2