Greatest Common Factor of 8949 and 8957

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 8949, 8957 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8949 and 8957 is 1.

GCF(8949,8957) = 1

GCF of 8949 and 8957

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

GCF of:
and

Greatest Common Factor of 8949 and 8957

GCF of 8949 and 8957 is 1

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

Prime Factorization of 8957


13 8957
13 689
53 53
1

Prime factors of 8957 are 13,53. Prime factorization of 8957 in exponential form is:

8957 = 132×531

∴ So by taking common prime factors GCF of 8949 and 8957 is 1

Greatest Common Factor of 8949 and 8957 by matching factors method

Factors of 8949

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

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

Factors of 8957

List of positive integer factors of 8957 that divides 8957 without a remainder.

1,13,53,169,689,8957

Greatest Common Factor

We found the factors and prime factorization of 8949 and 8957. The biggest common factor number is the GCF number.
So the greatest common factor 8949 and 8957 is 1.

Also check out the Least Common Multiple of 8949 and 8957

Properties of GCF 8949 and 8957

(i) The GCF of 8949 and 8957 is associative

GCF of 8949 and 8957 = GCF of 8957 and 8949

Related Greatest Common Factor of 8949

Related Greatest Common Factor of 8957

Frequently Asked Questions on GCF of 8949 and 8957

1. What is the GCF of 8949 and 8957?

Answer: GCF of 8949 and 8957 is 1.

2. 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.

3. What are the Factors of 8957?

Answer: Factors of 8957 are 1, 13, 53, 169, 689, 8957. There are 6 integers that are factors of 8957. The greatest factor of 8957 is 8957.

4. How to Find the GCF of 8949 and 8957?

Answer:

Greatest Common Factor of 8949 and 8957 = 1

Step 1: Find the prime factorization of 8949

8949 = 3 x 19 x 157

Step 2: Find the prime factorization of 8957

8957 = 13 x 13 x 53

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 8949 and 8957 is 1