Greatest Common Factor of 4915 and 4920

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 4915, 4920 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4915 and 4920 is 5.

GCF(4915,4920) = 5

GCF of 4915 and 4920

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

GCF of:
and

Greatest Common Factor of 4915 and 4920

GCF of 4915 and 4920 is 5

Prime Factorization of 4915


5 4915
983 983
1

Prime factors of 4915 are 5,983. Prime factorization of 4915 in exponential form is:

4915 = 51×9831

Prime Factorization of 4920


2 4920
2 2460
2 1230
3 615
5 205
41 41
1

Prime factors of 4920 are 2,3,5,41. Prime factorization of 4920 in exponential form is:

4920 = 23×31×51×411

∴ So by taking common prime factors GCF of 4915 and 4920 is 5

Greatest Common Factor of 4915 and 4920 by matching factors method

Factors of 4915

List of positive integer factors of 4915 that divides 4915 without a remainder.

1,5,983,4915

Factors of 4920

List of positive integer factors of 4920 that divides 4920 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,41,60,82,120,123,164,205,246,328,410,492,615,820,984,1230,1640,2460,4920

Greatest Common Factor

We found the factors and prime factorization of 4915 and 4920. The biggest common factor number is the GCF number.
So the greatest common factor 4915 and 4920 is 5.

Also check out the Least Common Multiple of 4915 and 4920

Properties of GCF 4915 and 4920

(i) The GCF of 4915 and 4920 is associative

GCF of 4915 and 4920 = GCF of 4920 and 4915

Related Greatest Common Factor of 4915

Related Greatest Common Factor of 4920

Frequently Asked Questions on GCF of 4915 and 4920

1. What is the GCF of 4915 and 4920?

Answer: GCF of 4915 and 4920 is 5.

2. What are the Factors of 4915?

Answer: Factors of 4915 are 1, 5, 983, 4915. There are 4 integers that are factors of 4915. The greatest factor of 4915 is 4915.

3. What are the Factors of 4920?

Answer: Factors of 4920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920. There are 32 integers that are factors of 4920. The greatest factor of 4920 is 4920.

4. How to Find the GCF of 4915 and 4920?

Answer:

Greatest Common Factor of 4915 and 4920 = 5

Step 1: Find the prime factorization of 4915

4915 = 5 x 983

Step 2: Find the prime factorization of 4920

4920 = 2 x 2 x 2 x 3 x 5 x 41

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 4915 and 4920 is 5