Greatest Common Factor of 940 and 946

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 940, 946 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 940 and 946 is 2.

GCF(940,946) = 2

GCF of 940 and 946

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

GCF of:
and

Greatest Common Factor of 940 and 946

GCF of 940 and 946 is 2

Prime Factorization of 940


2 940
2 470
5 235
47 47
1

Prime factors of 940 are 2,5,47. Prime factorization of 940 in exponential form is:

940 = 22×51×471

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

∴ So by taking common prime factors GCF of 940 and 946 is 2

Greatest Common Factor of 940 and 946 by matching factors method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 946

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

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

Greatest Common Factor

We found the factors and prime factorization of 940 and 946. The biggest common factor number is the GCF number.
So the greatest common factor 940 and 946 is 2.

Also check out the Least Common Multiple of 940 and 946

Properties of GCF 940 and 946

(i) The GCF of 940 and 946 is associative

GCF of 940 and 946 = GCF of 946 and 940

Related Greatest Common Factor of 940

Related Greatest Common Factor of 946

Frequently Asked Questions on GCF of 940 and 946

1. What is the GCF of 940 and 946?

Answer: GCF of 940 and 946 is 2.

2. What are the Factors of 940?

Answer: Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. There are 12 integers that are factors of 940. The greatest factor of 940 is 940.

3. 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.

4. How to Find the GCF of 940 and 946?

Answer:

Greatest Common Factor of 940 and 946 = 2

Step 1: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 946

946 = 2 x 11 x 43

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 940 and 946 is 2