Greatest Common Factor of 949 and 953

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 949, 953 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 949 and 953 is 1.

GCF(949,953) = 1

GCF of 949 and 953

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

GCF of:
and

Greatest Common Factor of 949 and 953

GCF of 949 and 953 is 1

Prime Factorization of 949


13 949
73 73
1

Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:

949 = 131×731

Prime Factorization of 953


953 953
1

Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:

953 = 9531

∴ So by taking common prime factors GCF of 949 and 953 is 1

Greatest Common Factor of 949 and 953 by matching factors method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors and prime factorization of 949 and 953. The biggest common factor number is the GCF number.
So the greatest common factor 949 and 953 is 1.

Also check out the Least Common Multiple of 949 and 953

Properties of GCF 949 and 953

(i) The GCF of 949 and 953 is associative

GCF of 949 and 953 = GCF of 953 and 949

Related Greatest Common Factor of 949

Related Greatest Common Factor of 953

Frequently Asked Questions on GCF of 949 and 953

1. What is the GCF of 949 and 953?

Answer: GCF of 949 and 953 is 1.

2. What are the Factors of 949?

Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.

3. What are the Factors of 953?

Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.

4. How to Find the GCF of 949 and 953?

Answer:

Greatest Common Factor of 949 and 953 = 1

Step 1: Find the prime factorization of 949

949 = 13 x 73

Step 2: Find the prime factorization of 953

953 = 953

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 949 and 953 is 1