Greatest Common Factor of 8942 and 8949

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 8942, 8949 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8942 and 8949 is 1.

GCF(8942,8949) = 1

GCF of 8942 and 8949

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

GCF of:
and

Greatest Common Factor of 8942 and 8949

GCF of 8942 and 8949 is 1

Prime Factorization of 8942


2 8942
17 4471
263 263
1

Prime factors of 8942 are 2,17,263. Prime factorization of 8942 in exponential form is:

8942 = 21×171×2631

Prime Factorization of 8949


3 8949
19 2983
157 157
1

Prime factors of 8949 are 3,19,157. Prime factorization of 8949 in exponential form is:

8949 = 31×191×1571

∴ So by taking common prime factors GCF of 8942 and 8949 is 1

Greatest Common Factor of 8942 and 8949 by matching factors method

Factors of 8942

List of positive integer factors of 8942 that divides 8942 without a remainder.

1,2,17,34,263,526,4471,8942

Factors of 8949

List of positive integer factors of 8949 that divides 8949 without a remainder.

1,3,19,57,157,471,2983,8949

Greatest Common Factor

We found the factors and prime factorization of 8942 and 8949. The biggest common factor number is the GCF number.
So the greatest common factor 8942 and 8949 is 1.

Also check out the Least Common Multiple of 8942 and 8949

Properties of GCF 8942 and 8949

(i) The GCF of 8942 and 8949 is associative

GCF of 8942 and 8949 = GCF of 8949 and 8942

Related Greatest Common Factor of 8942

Related Greatest Common Factor of 8949

Frequently Asked Questions on GCF of 8942 and 8949

1. What is the GCF of 8942 and 8949?

Answer: GCF of 8942 and 8949 is 1.

2. What are the Factors of 8942?

Answer: Factors of 8942 are 1, 2, 17, 34, 263, 526, 4471, 8942. There are 8 integers that are factors of 8942. The greatest factor of 8942 is 8942.

3. What are the Factors of 8949?

Answer: Factors of 8949 are 1, 3, 19, 57, 157, 471, 2983, 8949. There are 8 integers that are factors of 8949. The greatest factor of 8949 is 8949.

4. How to Find the GCF of 8942 and 8949?

Answer:

Greatest Common Factor of 8942 and 8949 = 1

Step 1: Find the prime factorization of 8942

8942 = 2 x 17 x 263

Step 2: Find the prime factorization of 8949

8949 = 3 x 19 x 157

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 8942 and 8949 is 1