Greatest Common Factor of 4974 and 4979

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, 4979 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4974 and 4979 is 1.

GCF(4974,4979) = 1

GCF of 4974 and 4979

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

GCF of:
and

Greatest Common Factor of 4974 and 4979

GCF of 4974 and 4979 is 1

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 4979


13 4979
383 383
1

Prime factors of 4979 are 13,383. Prime factorization of 4979 in exponential form is:

4979 = 131×3831

∴ So by taking common prime factors GCF of 4974 and 4979 is 1

Greatest Common Factor of 4974 and 4979 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 4979

List of positive integer factors of 4979 that divides 4979 without a remainder.

1,13,383,4979

Greatest Common Factor

We found the factors and prime factorization of 4974 and 4979. The biggest common factor number is the GCF number.
So the greatest common factor 4974 and 4979 is 1.

Also check out the Least Common Multiple of 4974 and 4979

Properties of GCF 4974 and 4979

(i) The GCF of 4974 and 4979 is associative

GCF of 4974 and 4979 = GCF of 4979 and 4974

Related Greatest Common Factor of 4974

Related Greatest Common Factor of 4979

Frequently Asked Questions on GCF of 4974 and 4979

1. What is the GCF of 4974 and 4979?

Answer: GCF of 4974 and 4979 is 1.

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 4979?

Answer: Factors of 4979 are 1, 13, 383, 4979. There are 4 integers that are factors of 4979. The greatest factor of 4979 is 4979.

4. How to Find the GCF of 4974 and 4979?

Answer:

Greatest Common Factor of 4974 and 4979 = 1

Step 1: Find the prime factorization of 4974

4974 = 2 x 3 x 829

Step 2: Find the prime factorization of 4979

4979 = 13 x 383

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 4974 and 4979 is 1