Greatest Common Factor of 4980 and 4986

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 4980, 4986 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4980 and 4986 is 6.

GCF(4980,4986) = 6

GCF of 4980 and 4986

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

GCF of:
and

Greatest Common Factor of 4980 and 4986

GCF of 4980 and 4986 is 6

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

Prime Factorization of 4986


2 4986
3 2493
3 831
277 277
1

Prime factors of 4986 are 2,3,277. Prime factorization of 4986 in exponential form is:

4986 = 21×32×2771

∴ So by taking common prime factors GCF of 4980 and 4986 is 6

Greatest Common Factor of 4980 and 4986 by matching factors method

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

Factors of 4986

List of positive integer factors of 4986 that divides 4986 without a remainder.

1,2,3,6,9,18,277,554,831,1662,2493,4986

Greatest Common Factor

We found the factors and prime factorization of 4980 and 4986. The biggest common factor number is the GCF number.
So the greatest common factor 4980 and 4986 is 6.

Also check out the Least Common Multiple of 4980 and 4986

Properties of GCF 4980 and 4986

(i) The GCF of 4980 and 4986 is associative

GCF of 4980 and 4986 = GCF of 4986 and 4980

Related Greatest Common Factor of 4980

Related Greatest Common Factor of 4986

Frequently Asked Questions on GCF of 4980 and 4986

1. What is the GCF of 4980 and 4986?

Answer: GCF of 4980 and 4986 is 6.

2. 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.

3. What are the Factors of 4986?

Answer: Factors of 4986 are 1, 2, 3, 6, 9, 18, 277, 554, 831, 1662, 2493, 4986. There are 12 integers that are factors of 4986. The greatest factor of 4986 is 4986.

4. How to Find the GCF of 4980 and 4986?

Answer:

Greatest Common Factor of 4980 and 4986 = 6

Step 1: Find the prime factorization of 4980

4980 = 2 x 2 x 3 x 5 x 83

Step 2: Find the prime factorization of 4986

4986 = 2 x 3 x 3 x 277

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 4980 and 4986 is 6