Greatest Common Factor of 4971 and 4973

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 4971, 4973 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4971 and 4973 is 1.

GCF(4971,4973) = 1

GCF of 4971 and 4973

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

GCF of:
and

Greatest Common Factor of 4971 and 4973

GCF of 4971 and 4973 is 1

Prime Factorization of 4971


3 4971
1657 1657
1

Prime factors of 4971 are 3,1657. Prime factorization of 4971 in exponential form is:

4971 = 31×16571

Prime Factorization of 4973


4973 4973
1

Prime factors of 4973 are 4973. Prime factorization of 4973 in exponential form is:

4973 = 49731

∴ So by taking common prime factors GCF of 4971 and 4973 is 1

Greatest Common Factor of 4971 and 4973 by matching factors method

Factors of 4971

List of positive integer factors of 4971 that divides 4971 without a remainder.

1,3,1657,4971

Factors of 4973

List of positive integer factors of 4973 that divides 4973 without a remainder.

1,4973

Greatest Common Factor

We found the factors and prime factorization of 4971 and 4973. The biggest common factor number is the GCF number.
So the greatest common factor 4971 and 4973 is 1.

Also check out the Least Common Multiple of 4971 and 4973

Properties of GCF 4971 and 4973

(i) The GCF of 4971 and 4973 is associative

GCF of 4971 and 4973 = GCF of 4973 and 4971

Related Greatest Common Factor of 4971

Related Greatest Common Factor of 4973

Frequently Asked Questions on GCF of 4971 and 4973

1. What is the GCF of 4971 and 4973?

Answer: GCF of 4971 and 4973 is 1.

2. What are the Factors of 4971?

Answer: Factors of 4971 are 1, 3, 1657, 4971. There are 4 integers that are factors of 4971. The greatest factor of 4971 is 4971.

3. What are the Factors of 4973?

Answer: Factors of 4973 are 1, 4973. There are 2 integers that are factors of 4973. The greatest factor of 4973 is 4973.

4. How to Find the GCF of 4971 and 4973?

Answer:

Greatest Common Factor of 4971 and 4973 = 1

Step 1: Find the prime factorization of 4971

4971 = 3 x 1657

Step 2: Find the prime factorization of 4973

4973 = 4973

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 4971 and 4973 is 1