Greatest Common Factor of 4958 and 4966

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 4958, 4966 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4958 and 4966 is 2.

GCF(4958,4966) = 2

GCF of 4958 and 4966

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

GCF of:
and

Greatest Common Factor of 4958 and 4966

GCF of 4958 and 4966 is 2

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

Prime Factorization of 4966


2 4966
13 2483
191 191
1

Prime factors of 4966 are 2,13,191. Prime factorization of 4966 in exponential form is:

4966 = 21×131×1911

∴ So by taking common prime factors GCF of 4958 and 4966 is 2

Greatest Common Factor of 4958 and 4966 by matching factors method

Factors of 4958

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

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

Factors of 4966

List of positive integer factors of 4966 that divides 4966 without a remainder.

1,2,13,26,191,382,2483,4966

Greatest Common Factor

We found the factors and prime factorization of 4958 and 4966. The biggest common factor number is the GCF number.
So the greatest common factor 4958 and 4966 is 2.

Also check out the Least Common Multiple of 4958 and 4966

Properties of GCF 4958 and 4966

(i) The GCF of 4958 and 4966 is associative

GCF of 4958 and 4966 = GCF of 4966 and 4958

Related Greatest Common Factor of 4958

Related Greatest Common Factor of 4966

Frequently Asked Questions on GCF of 4958 and 4966

1. What is the GCF of 4958 and 4966?

Answer: GCF of 4958 and 4966 is 2.

2. 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.

3. What are the Factors of 4966?

Answer: Factors of 4966 are 1, 2, 13, 26, 191, 382, 2483, 4966. There are 8 integers that are factors of 4966. The greatest factor of 4966 is 4966.

4. How to Find the GCF of 4958 and 4966?

Answer:

Greatest Common Factor of 4958 and 4966 = 2

Step 1: Find the prime factorization of 4958

4958 = 2 x 37 x 67

Step 2: Find the prime factorization of 4966

4966 = 2 x 13 x 191

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 4958 and 4966 is 2