Greatest Common Factor of 940 and 942

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

Greatest common factor (GCF) of 940 and 942 is 2.

GCF(940,942) = 2

GCF of 940 and 942

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

GCF of:
and

Greatest Common Factor of 940 and 942

GCF of 940 and 942 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 942


2 942
3 471
157 157
1

Prime factors of 942 are 2,3,157. Prime factorization of 942 in exponential form is:

942 = 21×31×1571

∴ So by taking common prime factors GCF of 940 and 942 is 2

Greatest Common Factor of 940 and 942 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 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors and prime factorization of 940 and 942. The biggest common factor number is the GCF number.
So the greatest common factor 940 and 942 is 2.

Also check out the Least Common Multiple of 940 and 942

Properties of GCF 940 and 942

(i) The GCF of 940 and 942 is associative

GCF of 940 and 942 = GCF of 942 and 940

Related Greatest Common Factor of 940

Related Greatest Common Factor of 942

Frequently Asked Questions on GCF of 940 and 942

1. What is the GCF of 940 and 942?

Answer: GCF of 940 and 942 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 942?

Answer: Factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942. There are 8 integers that are factors of 942. The greatest factor of 942 is 942.

4. How to Find the GCF of 940 and 942?

Answer:

Greatest Common Factor of 940 and 942 = 2

Step 1: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 942

942 = 2 x 3 x 157

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 942 is 2