Greatest Common Factor of 3950 and 3955

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 3950, 3955 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3950 and 3955 is 5.

GCF(3950,3955) = 5

GCF of 3950 and 3955

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

GCF of:
and

Greatest Common Factor of 3950 and 3955

GCF of 3950 and 3955 is 5

Prime Factorization of 3950


2 3950
5 1975
5 395
79 79
1

Prime factors of 3950 are 2,5,79. Prime factorization of 3950 in exponential form is:

3950 = 21×52×791

Prime Factorization of 3955


5 3955
7 791
113 113
1

Prime factors of 3955 are 5,7,113. Prime factorization of 3955 in exponential form is:

3955 = 51×71×1131

∴ So by taking common prime factors GCF of 3950 and 3955 is 5

Greatest Common Factor of 3950 and 3955 by matching factors method

Factors of 3950

List of positive integer factors of 3950 that divides 3950 without a remainder.

1,2,5,10,25,50,79,158,395,790,1975,3950

Factors of 3955

List of positive integer factors of 3955 that divides 3955 without a remainder.

1,5,7,35,113,565,791,3955

Greatest Common Factor

We found the factors and prime factorization of 3950 and 3955. The biggest common factor number is the GCF number.
So the greatest common factor 3950 and 3955 is 5.

Also check out the Least Common Multiple of 3950 and 3955

Properties of GCF 3950 and 3955

(i) The GCF of 3950 and 3955 is associative

GCF of 3950 and 3955 = GCF of 3955 and 3950

Related Greatest Common Factor of 3950

Related Greatest Common Factor of 3955

Frequently Asked Questions on GCF of 3950 and 3955

1. What is the GCF of 3950 and 3955?

Answer: GCF of 3950 and 3955 is 5.

2. What are the Factors of 3950?

Answer: Factors of 3950 are 1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950. There are 12 integers that are factors of 3950. The greatest factor of 3950 is 3950.

3. What are the Factors of 3955?

Answer: Factors of 3955 are 1, 5, 7, 35, 113, 565, 791, 3955. There are 8 integers that are factors of 3955. The greatest factor of 3955 is 3955.

4. How to Find the GCF of 3950 and 3955?

Answer:

Greatest Common Factor of 3950 and 3955 = 5

Step 1: Find the prime factorization of 3950

3950 = 2 x 5 x 5 x 79

Step 2: Find the prime factorization of 3955

3955 = 5 x 7 x 113

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3950 and 3955 is 5