Greatest Common Factor of 7971 and 7973

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 7971, 7973 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7971 and 7973 is 1.

GCF(7971,7973) = 1

GCF of 7971 and 7973

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

GCF of:
and

Greatest Common Factor of 7971 and 7973

GCF of 7971 and 7973 is 1

Prime Factorization of 7971


3 7971
2657 2657
1

Prime factors of 7971 are 3,2657. Prime factorization of 7971 in exponential form is:

7971 = 31×26571

Prime Factorization of 7973


7 7973
17 1139
67 67
1

Prime factors of 7973 are 7,17,67. Prime factorization of 7973 in exponential form is:

7973 = 71×171×671

∴ So by taking common prime factors GCF of 7971 and 7973 is 1

Greatest Common Factor of 7971 and 7973 by matching factors method

Factors of 7971

List of positive integer factors of 7971 that divides 7971 without a remainder.

1,3,2657,7971

Factors of 7973

List of positive integer factors of 7973 that divides 7973 without a remainder.

1,7,17,67,119,469,1139,7973

Greatest Common Factor

We found the factors and prime factorization of 7971 and 7973. The biggest common factor number is the GCF number.
So the greatest common factor 7971 and 7973 is 1.

Also check out the Least Common Multiple of 7971 and 7973

Properties of GCF 7971 and 7973

(i) The GCF of 7971 and 7973 is associative

GCF of 7971 and 7973 = GCF of 7973 and 7971

Related Greatest Common Factor of 7971

Related Greatest Common Factor of 7973

Frequently Asked Questions on GCF of 7971 and 7973

1. What is the GCF of 7971 and 7973?

Answer: GCF of 7971 and 7973 is 1.

2. What are the Factors of 7971?

Answer: Factors of 7971 are 1, 3, 2657, 7971. There are 4 integers that are factors of 7971. The greatest factor of 7971 is 7971.

3. What are the Factors of 7973?

Answer: Factors of 7973 are 1, 7, 17, 67, 119, 469, 1139, 7973. There are 8 integers that are factors of 7973. The greatest factor of 7973 is 7973.

4. How to Find the GCF of 7971 and 7973?

Answer:

Greatest Common Factor of 7971 and 7973 = 1

Step 1: Find the prime factorization of 7971

7971 = 3 x 2657

Step 2: Find the prime factorization of 7973

7973 = 7 x 17 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 7971 and 7973 is 1