Greatest Common Factor of 3968 and 3973

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 3968, 3973 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3968 and 3973 is 1.

GCF(3968,3973) = 1

GCF of 3968 and 3973

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

GCF of:
and

Greatest Common Factor of 3968 and 3973

GCF of 3968 and 3973 is 1

Prime Factorization of 3968


2 3968
2 1984
2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 3968 are 2,31. Prime factorization of 3968 in exponential form is:

3968 = 27×311

Prime Factorization of 3973


29 3973
137 137
1

Prime factors of 3973 are 29,137. Prime factorization of 3973 in exponential form is:

3973 = 291×1371

∴ So by taking common prime factors GCF of 3968 and 3973 is 1

Greatest Common Factor of 3968 and 3973 by matching factors method

Factors of 3968

List of positive integer factors of 3968 that divides 3968 without a remainder.

1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968

Factors of 3973

List of positive integer factors of 3973 that divides 3973 without a remainder.

1,29,137,3973

Greatest Common Factor

We found the factors and prime factorization of 3968 and 3973. The biggest common factor number is the GCF number.
So the greatest common factor 3968 and 3973 is 1.

Also check out the Least Common Multiple of 3968 and 3973

Properties of GCF 3968 and 3973

(i) The GCF of 3968 and 3973 is associative

GCF of 3968 and 3973 = GCF of 3973 and 3968

Related Greatest Common Factor of 3968

Related Greatest Common Factor of 3973

Frequently Asked Questions on GCF of 3968 and 3973

1. What is the GCF of 3968 and 3973?

Answer: GCF of 3968 and 3973 is 1.

2. What are the Factors of 3968?

Answer: Factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968. There are 16 integers that are factors of 3968. The greatest factor of 3968 is 3968.

3. What are the Factors of 3973?

Answer: Factors of 3973 are 1, 29, 137, 3973. There are 4 integers that are factors of 3973. The greatest factor of 3973 is 3973.

4. How to Find the GCF of 3968 and 3973?

Answer:

Greatest Common Factor of 3968 and 3973 = 1

Step 1: Find the prime factorization of 3968

3968 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31

Step 2: Find the prime factorization of 3973

3973 = 29 x 137

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 3968 and 3973 is 1