Greatest Common Factor of 940 and 948

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, 948 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 940 and 948 is 4.

GCF(940,948) = 4

GCF of 940 and 948

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

GCF of:
and

Greatest Common Factor of 940 and 948

GCF of 940 and 948 is 4

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 948


2 948
2 474
3 237
79 79
1

Prime factors of 948 are 2,3,79. Prime factorization of 948 in exponential form is:

948 = 22×31×791

∴ So by taking common prime factors GCF of 940 and 948 is 4

Greatest Common Factor of 940 and 948 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 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors and prime factorization of 940 and 948. The biggest common factor number is the GCF number.
So the greatest common factor 940 and 948 is 4.

Also check out the Least Common Multiple of 940 and 948

Properties of GCF 940 and 948

(i) The GCF of 940 and 948 is associative

GCF of 940 and 948 = GCF of 948 and 940

Related Greatest Common Factor of 940

Related Greatest Common Factor of 948

Frequently Asked Questions on GCF of 940 and 948

1. What is the GCF of 940 and 948?

Answer: GCF of 940 and 948 is 4.

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 948?

Answer: Factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. There are 12 integers that are factors of 948. The greatest factor of 948 is 948.

4. How to Find the GCF of 940 and 948?

Answer:

Greatest Common Factor of 940 and 948 = 4

Step 1: Find the prime factorization of 940

940 = 2 x 2 x 5 x 47

Step 2: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 940 and 948 is 4