Greatest Common Factor of 4968 and 4971

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 4968, 4971 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4968 and 4971 is 3.

GCF(4968,4971) = 3

GCF of 4968 and 4971

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

GCF of:
and

Greatest Common Factor of 4968 and 4971

GCF of 4968 and 4971 is 3

Prime Factorization of 4968


2 4968
2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 4968 are 2,3,23. Prime factorization of 4968 in exponential form is:

4968 = 23×33×231

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

∴ So by taking common prime factors GCF of 4968 and 4971 is 3

Greatest Common Factor of 4968 and 4971 by matching factors method

Factors of 4968

List of positive integer factors of 4968 that divides 4968 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968

Factors of 4971

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

1,3,1657,4971

Greatest Common Factor

We found the factors and prime factorization of 4968 and 4971. The biggest common factor number is the GCF number.
So the greatest common factor 4968 and 4971 is 3.

Also check out the Least Common Multiple of 4968 and 4971

Properties of GCF 4968 and 4971

(i) The GCF of 4968 and 4971 is associative

GCF of 4968 and 4971 = GCF of 4971 and 4968

Related Greatest Common Factor of 4968

Related Greatest Common Factor of 4971

Frequently Asked Questions on GCF of 4968 and 4971

1. What is the GCF of 4968 and 4971?

Answer: GCF of 4968 and 4971 is 3.

2. What are the Factors of 4968?

Answer: Factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968. There are 32 integers that are factors of 4968. The greatest factor of 4968 is 4968.

3. 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.

4. How to Find the GCF of 4968 and 4971?

Answer:

Greatest Common Factor of 4968 and 4971 = 3

Step 1: Find the prime factorization of 4968

4968 = 2 x 2 x 2 x 3 x 3 x 3 x 23

Step 2: Find the prime factorization of 4971

4971 = 3 x 1657

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4968 and 4971 is 3