Greatest Common Factor of 4956 and 4958

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 4956, 4958 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4956 and 4958 is 2.

GCF(4956,4958) = 2

GCF of 4956 and 4958

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

GCF of:
and

Greatest Common Factor of 4956 and 4958

GCF of 4956 and 4958 is 2

Prime Factorization of 4956


2 4956
2 2478
3 1239
7 413
59 59
1

Prime factors of 4956 are 2,3,7,59. Prime factorization of 4956 in exponential form is:

4956 = 22×31×71×591

Prime Factorization of 4958


2 4958
37 2479
67 67
1

Prime factors of 4958 are 2,37,67. Prime factorization of 4958 in exponential form is:

4958 = 21×371×671

∴ So by taking common prime factors GCF of 4956 and 4958 is 2

Greatest Common Factor of 4956 and 4958 by matching factors method

Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956

Factors of 4958

List of positive integer factors of 4958 that divides 4958 without a remainder.

1,2,37,67,74,134,2479,4958

Greatest Common Factor

We found the factors and prime factorization of 4956 and 4958. The biggest common factor number is the GCF number.
So the greatest common factor 4956 and 4958 is 2.

Also check out the Least Common Multiple of 4956 and 4958

Properties of GCF 4956 and 4958

(i) The GCF of 4956 and 4958 is associative

GCF of 4956 and 4958 = GCF of 4958 and 4956

Related Greatest Common Factor of 4956

Related Greatest Common Factor of 4958

Frequently Asked Questions on GCF of 4956 and 4958

1. What is the GCF of 4956 and 4958?

Answer: GCF of 4956 and 4958 is 2.

2. What are the Factors of 4956?

Answer: Factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956. There are 24 integers that are factors of 4956. The greatest factor of 4956 is 4956.

3. What are the Factors of 4958?

Answer: Factors of 4958 are 1, 2, 37, 67, 74, 134, 2479, 4958. There are 8 integers that are factors of 4958. The greatest factor of 4958 is 4958.

4. How to Find the GCF of 4956 and 4958?

Answer:

Greatest Common Factor of 4956 and 4958 = 2

Step 1: Find the prime factorization of 4956

4956 = 2 x 2 x 3 x 7 x 59

Step 2: Find the prime factorization of 4958

4958 = 2 x 37 x 67

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 4956 and 4958 is 2