Greatest Common Factor of 3930 and 3937

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 3930, 3937 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3930 and 3937 is 1.

GCF(3930,3937) = 1

GCF of 3930 and 3937

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

GCF of:
and

Greatest Common Factor of 3930 and 3937

GCF of 3930 and 3937 is 1

Prime Factorization of 3930


2 3930
3 1965
5 655
131 131
1

Prime factors of 3930 are 2,3,5,131. Prime factorization of 3930 in exponential form is:

3930 = 21×31×51×1311

Prime Factorization of 3937


31 3937
127 127
1

Prime factors of 3937 are 31,127. Prime factorization of 3937 in exponential form is:

3937 = 311×1271

∴ So by taking common prime factors GCF of 3930 and 3937 is 1

Greatest Common Factor of 3930 and 3937 by matching factors method

Factors of 3930

List of positive integer factors of 3930 that divides 3930 without a remainder.

1,2,3,5,6,10,15,30,131,262,393,655,786,1310,1965,3930

Factors of 3937

List of positive integer factors of 3937 that divides 3937 without a remainder.

1,31,127,3937

Greatest Common Factor

We found the factors and prime factorization of 3930 and 3937. The biggest common factor number is the GCF number.
So the greatest common factor 3930 and 3937 is 1.

Also check out the Least Common Multiple of 3930 and 3937

Properties of GCF 3930 and 3937

(i) The GCF of 3930 and 3937 is associative

GCF of 3930 and 3937 = GCF of 3937 and 3930

Frequently Asked Questions on GCF of 3930 and 3937

1. What is the GCF of 3930 and 3937?

Answer: GCF of 3930 and 3937 is 1.

2. What are the Factors of 3930?

Answer: Factors of 3930 are 1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930. There are 16 integers that are factors of 3930. The greatest factor of 3930 is 3930.

3. What are the Factors of 3937?

Answer: Factors of 3937 are 1, 31, 127, 3937. There are 4 integers that are factors of 3937. The greatest factor of 3937 is 3937.

4. How to Find the GCF of 3930 and 3937?

Answer:

Greatest Common Factor of 3930 and 3937 = 1

Step 1: Find the prime factorization of 3930

3930 = 2 x 3 x 5 x 131

Step 2: Find the prime factorization of 3937

3937 = 31 x 127

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 3930 and 3937 is 1