Greatest Common Factor of 4955 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 4955, 4958 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4955 and 4958 is 1.

GCF(4955,4958) = 1

GCF of 4955 and 4958

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

GCF of:
and

Greatest Common Factor of 4955 and 4958

GCF of 4955 and 4958 is 1

Prime Factorization of 4955


5 4955
991 991
1

Prime factors of 4955 are 5,991. Prime factorization of 4955 in exponential form is:

4955 = 51×9911

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 4955 and 4958 is 1

Greatest Common Factor of 4955 and 4958 by matching factors method

Factors of 4955

List of positive integer factors of 4955 that divides 4955 without a remainder.

1,5,991,4955

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 4955 and 4958. The biggest common factor number is the GCF number.
So the greatest common factor 4955 and 4958 is 1.

Also check out the Least Common Multiple of 4955 and 4958

Properties of GCF 4955 and 4958

(i) The GCF of 4955 and 4958 is associative

GCF of 4955 and 4958 = GCF of 4958 and 4955

Related Greatest Common Factor of 4955

Related Greatest Common Factor of 4958

Frequently Asked Questions on GCF of 4955 and 4958

1. What is the GCF of 4955 and 4958?

Answer: GCF of 4955 and 4958 is 1.

2. What are the Factors of 4955?

Answer: Factors of 4955 are 1, 5, 991, 4955. There are 4 integers that are factors of 4955. The greatest factor of 4955 is 4955.

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 4955 and 4958?

Answer:

Greatest Common Factor of 4955 and 4958 = 1

Step 1: Find the prime factorization of 4955

4955 = 5 x 991

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 = = 1

Step 4: Therefore, the greatest common factor of 4955 and 4958 is 1