Greatest Common Factor of 4980 and 4984

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, 4984 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4980 and 4984 is 4.

GCF(4980,4984) = 4

GCF of 4980 and 4984

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

GCF of:
and

Greatest Common Factor of 4980 and 4984

GCF of 4980 and 4984 is 4

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 4984


2 4984
2 2492
2 1246
7 623
89 89
1

Prime factors of 4984 are 2,7,89. Prime factorization of 4984 in exponential form is:

4984 = 23×71×891

∴ So by taking common prime factors GCF of 4980 and 4984 is 4

Greatest Common Factor of 4980 and 4984 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 4984

List of positive integer factors of 4984 that divides 4984 without a remainder.

1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984

Greatest Common Factor

We found the factors and prime factorization of 4980 and 4984. The biggest common factor number is the GCF number.
So the greatest common factor 4980 and 4984 is 4.

Also check out the Least Common Multiple of 4980 and 4984

Properties of GCF 4980 and 4984

(i) The GCF of 4980 and 4984 is associative

GCF of 4980 and 4984 = GCF of 4984 and 4980

Related Greatest Common Factor of 4980

Related Greatest Common Factor of 4984

Frequently Asked Questions on GCF of 4980 and 4984

1. What is the GCF of 4980 and 4984?

Answer: GCF of 4980 and 4984 is 4.

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 4984?

Answer: Factors of 4984 are 1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492, 4984. There are 16 integers that are factors of 4984. The greatest factor of 4984 is 4984.

4. How to Find the GCF of 4980 and 4984?

Answer:

Greatest Common Factor of 4980 and 4984 = 4

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 4984

4984 = 2 x 2 x 2 x 7 x 89

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4980 and 4984 is 4