Greatest Common Factor of 946 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 946, 953 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 946 and 953 is 1.

GCF(946,953) = 1

GCF of 946 and 953

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

GCF of:
and

Greatest Common Factor of 946 and 953

GCF of 946 and 953 is 1

Prime Factorization of 946


2 946
11 473
43 43
1

Prime factors of 946 are 2,11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

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 946 and 953 is 1

Greatest Common Factor of 946 and 953 by matching factors method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

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 946 and 953. The biggest common factor number is the GCF number.
So the greatest common factor 946 and 953 is 1.

Also check out the Least Common Multiple of 946 and 953

Properties of GCF 946 and 953

(i) The GCF of 946 and 953 is associative

GCF of 946 and 953 = GCF of 953 and 946

Related Greatest Common Factor of 946

Related Greatest Common Factor of 953

Frequently Asked Questions on GCF of 946 and 953

1. What is the GCF of 946 and 953?

Answer: GCF of 946 and 953 is 1.

2. What are the Factors of 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

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 946 and 953?

Answer:

Greatest Common Factor of 946 and 953 = 1

Step 1: Find the prime factorization of 946

946 = 2 x 11 x 43

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 946 and 953 is 1