Greatest Common Factor of 4930 and 4932

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 4930, 4932 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4930 and 4932 is 2.

GCF(4930,4932) = 2

GCF of 4930 and 4932

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

GCF of:
and

Greatest Common Factor of 4930 and 4932

GCF of 4930 and 4932 is 2

Prime Factorization of 4930


2 4930
5 2465
17 493
29 29
1

Prime factors of 4930 are 2,5,17,29. Prime factorization of 4930 in exponential form is:

4930 = 21×51×171×291

Prime Factorization of 4932


2 4932
2 2466
3 1233
3 411
137 137
1

Prime factors of 4932 are 2,3,137. Prime factorization of 4932 in exponential form is:

4932 = 22×32×1371

∴ So by taking common prime factors GCF of 4930 and 4932 is 2

Greatest Common Factor of 4930 and 4932 by matching factors method

Factors of 4930

List of positive integer factors of 4930 that divides 4930 without a remainder.

1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930

Factors of 4932

List of positive integer factors of 4932 that divides 4932 without a remainder.

1,2,3,4,6,9,12,18,36,137,274,411,548,822,1233,1644,2466,4932

Greatest Common Factor

We found the factors and prime factorization of 4930 and 4932. The biggest common factor number is the GCF number.
So the greatest common factor 4930 and 4932 is 2.

Also check out the Least Common Multiple of 4930 and 4932

Properties of GCF 4930 and 4932

(i) The GCF of 4930 and 4932 is associative

GCF of 4930 and 4932 = GCF of 4932 and 4930

Related Greatest Common Factor of 4930

Related Greatest Common Factor of 4932

Frequently Asked Questions on GCF of 4930 and 4932

1. What is the GCF of 4930 and 4932?

Answer: GCF of 4930 and 4932 is 2.

2. What are the Factors of 4930?

Answer: Factors of 4930 are 1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930. There are 16 integers that are factors of 4930. The greatest factor of 4930 is 4930.

3. What are the Factors of 4932?

Answer: Factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932. There are 18 integers that are factors of 4932. The greatest factor of 4932 is 4932.

4. How to Find the GCF of 4930 and 4932?

Answer:

Greatest Common Factor of 4930 and 4932 = 2

Step 1: Find the prime factorization of 4930

4930 = 2 x 5 x 17 x 29

Step 2: Find the prime factorization of 4932

4932 = 2 x 2 x 3 x 3 x 137

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4930 and 4932 is 2