Greatest Common Factor of 948 and 956

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 948, 956 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 948 and 956 is 4.

GCF(948,956) = 4

GCF of 948 and 956

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

GCF of:
and

Greatest Common Factor of 948 and 956

GCF of 948 and 956 is 4

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

Prime Factorization of 956


2 956
2 478
239 239
1

Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:

956 = 22×2391

∴ So by taking common prime factors GCF of 948 and 956 is 4

Greatest Common Factor of 948 and 956 by matching factors method

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

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors and prime factorization of 948 and 956. The biggest common factor number is the GCF number.
So the greatest common factor 948 and 956 is 4.

Also check out the Least Common Multiple of 948 and 956

Properties of GCF 948 and 956

(i) The GCF of 948 and 956 is associative

GCF of 948 and 956 = GCF of 956 and 948

Related Greatest Common Factor of 948

Related Greatest Common Factor of 956

Frequently Asked Questions on GCF of 948 and 956

1. What is the GCF of 948 and 956?

Answer: GCF of 948 and 956 is 4.

2. 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.

3. What are the Factors of 956?

Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.

4. How to Find the GCF of 948 and 956?

Answer:

Greatest Common Factor of 948 and 956 = 4

Step 1: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

Step 2: Find the prime factorization of 956

956 = 2 x 2 x 239

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 948 and 956 is 4