Greatest Common Factor of 8942 and 8948

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, 8948 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8942 and 8948 is 2.

GCF(8942,8948) = 2

GCF of 8942 and 8948

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

GCF of:
and

Greatest Common Factor of 8942 and 8948

GCF of 8942 and 8948 is 2

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 8948


2 8948
2 4474
2237 2237
1

Prime factors of 8948 are 2,2237. Prime factorization of 8948 in exponential form is:

8948 = 22×22371

∴ So by taking common prime factors GCF of 8942 and 8948 is 2

Greatest Common Factor of 8942 and 8948 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 8948

List of positive integer factors of 8948 that divides 8948 without a remainder.

1,2,4,2237,4474,8948

Greatest Common Factor

We found the factors and prime factorization of 8942 and 8948. The biggest common factor number is the GCF number.
So the greatest common factor 8942 and 8948 is 2.

Also check out the Least Common Multiple of 8942 and 8948

Properties of GCF 8942 and 8948

(i) The GCF of 8942 and 8948 is associative

GCF of 8942 and 8948 = GCF of 8948 and 8942

Related Greatest Common Factor of 8942

Related Greatest Common Factor of 8948

Frequently Asked Questions on GCF of 8942 and 8948

1. What is the GCF of 8942 and 8948?

Answer: GCF of 8942 and 8948 is 2.

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 8948?

Answer: Factors of 8948 are 1, 2, 4, 2237, 4474, 8948. There are 6 integers that are factors of 8948. The greatest factor of 8948 is 8948.

4. How to Find the GCF of 8942 and 8948?

Answer:

Greatest Common Factor of 8942 and 8948 = 2

Step 1: Find the prime factorization of 8942

8942 = 2 x 17 x 263

Step 2: Find the prime factorization of 8948

8948 = 2 x 2 x 2237

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 8942 and 8948 is 2