Greatest Common Factor of 4974 and 4977

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 4974, 4977 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4974 and 4977 is 3.

GCF(4974,4977) = 3

GCF of 4974 and 4977

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

GCF of:
and

Greatest Common Factor of 4974 and 4977

GCF of 4974 and 4977 is 3

Prime Factorization of 4974


2 4974
3 2487
829 829
1

Prime factors of 4974 are 2,3,829. Prime factorization of 4974 in exponential form is:

4974 = 21×31×8291

Prime Factorization of 4977


3 4977
3 1659
7 553
79 79
1

Prime factors of 4977 are 3,7,79. Prime factorization of 4977 in exponential form is:

4977 = 32×71×791

∴ So by taking common prime factors GCF of 4974 and 4977 is 3

Greatest Common Factor of 4974 and 4977 by matching factors method

Factors of 4974

List of positive integer factors of 4974 that divides 4974 without a remainder.

1,2,3,6,829,1658,2487,4974

Factors of 4977

List of positive integer factors of 4977 that divides 4977 without a remainder.

1,3,7,9,21,63,79,237,553,711,1659,4977

Greatest Common Factor

We found the factors and prime factorization of 4974 and 4977. The biggest common factor number is the GCF number.
So the greatest common factor 4974 and 4977 is 3.

Also check out the Least Common Multiple of 4974 and 4977

Properties of GCF 4974 and 4977

(i) The GCF of 4974 and 4977 is associative

GCF of 4974 and 4977 = GCF of 4977 and 4974

Related Greatest Common Factor of 4974

Related Greatest Common Factor of 4977

Frequently Asked Questions on GCF of 4974 and 4977

1. What is the GCF of 4974 and 4977?

Answer: GCF of 4974 and 4977 is 3.

2. What are the Factors of 4974?

Answer: Factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974. There are 8 integers that are factors of 4974. The greatest factor of 4974 is 4974.

3. What are the Factors of 4977?

Answer: Factors of 4977 are 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977. There are 12 integers that are factors of 4977. The greatest factor of 4977 is 4977.

4. How to Find the GCF of 4974 and 4977?

Answer:

Greatest Common Factor of 4974 and 4977 = 3

Step 1: Find the prime factorization of 4974

4974 = 2 x 3 x 829

Step 2: Find the prime factorization of 4977

4977 = 3 x 3 x 7 x 79

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 4974 and 4977 is 3