Greatest Common Factor of 4974 and 4980

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, 4980 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4974 and 4980 is 6.

GCF(4974,4980) = 6

GCF of 4974 and 4980

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

GCF of:
and

Greatest Common Factor of 4974 and 4980

GCF of 4974 and 4980 is 6

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 4980


2 4980
2 2490
3 1245
5 415
83 83
1

Prime factors of 4980 are 2,3,5,83. Prime factorization of 4980 in exponential form is:

4980 = 22×31×51×831

∴ So by taking common prime factors GCF of 4974 and 4980 is 6

Greatest Common Factor of 4974 and 4980 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 4980

List of positive integer factors of 4980 that divides 4980 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,83,166,249,332,415,498,830,996,1245,1660,2490,4980

Greatest Common Factor

We found the factors and prime factorization of 4974 and 4980. The biggest common factor number is the GCF number.
So the greatest common factor 4974 and 4980 is 6.

Also check out the Least Common Multiple of 4974 and 4980

Properties of GCF 4974 and 4980

(i) The GCF of 4974 and 4980 is associative

GCF of 4974 and 4980 = GCF of 4980 and 4974

Related Greatest Common Factor of 4974

Related Greatest Common Factor of 4980

Frequently Asked Questions on GCF of 4974 and 4980

1. What is the GCF of 4974 and 4980?

Answer: GCF of 4974 and 4980 is 6.

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 4980?

Answer: Factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980. There are 24 integers that are factors of 4980. The greatest factor of 4980 is 4980.

4. How to Find the GCF of 4974 and 4980?

Answer:

Greatest Common Factor of 4974 and 4980 = 6

Step 1: Find the prime factorization of 4974

4974 = 2 x 3 x 829

Step 2: Find the prime factorization of 4980

4980 = 2 x 2 x 3 x 5 x 83

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4974 and 4980 is 6