Greatest Common Factor of 4980 and 4985

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, 4985 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4980 and 4985 is 5.

GCF(4980,4985) = 5

GCF of 4980 and 4985

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

GCF of:
and

Greatest Common Factor of 4980 and 4985

GCF of 4980 and 4985 is 5

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 4985


5 4985
997 997
1

Prime factors of 4985 are 5,997. Prime factorization of 4985 in exponential form is:

4985 = 51×9971

∴ So by taking common prime factors GCF of 4980 and 4985 is 5

Greatest Common Factor of 4980 and 4985 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 4985

List of positive integer factors of 4985 that divides 4985 without a remainder.

1,5,997,4985

Greatest Common Factor

We found the factors and prime factorization of 4980 and 4985. The biggest common factor number is the GCF number.
So the greatest common factor 4980 and 4985 is 5.

Also check out the Least Common Multiple of 4980 and 4985

Properties of GCF 4980 and 4985

(i) The GCF of 4980 and 4985 is associative

GCF of 4980 and 4985 = GCF of 4985 and 4980

Related Greatest Common Factor of 4980

Related Greatest Common Factor of 4985

Frequently Asked Questions on GCF of 4980 and 4985

1. What is the GCF of 4980 and 4985?

Answer: GCF of 4980 and 4985 is 5.

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 4985?

Answer: Factors of 4985 are 1, 5, 997, 4985. There are 4 integers that are factors of 4985. The greatest factor of 4985 is 4985.

4. How to Find the GCF of 4980 and 4985?

Answer:

Greatest Common Factor of 4980 and 4985 = 5

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 4985

4985 = 5 x 997

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4980 and 4985 is 5