Greatest Common Factor of 9920 and 9925

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 9920, 9925 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9920 and 9925 is 5.

GCF(9920,9925) = 5

GCF of 9920 and 9925

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

GCF of:
and

Greatest Common Factor of 9920 and 9925

GCF of 9920 and 9925 is 5

Prime Factorization of 9920


2 9920
2 4960
2 2480
2 1240
2 620
2 310
5 155
31 31
1

Prime factors of 9920 are 2,5,31. Prime factorization of 9920 in exponential form is:

9920 = 26×51×311

Prime Factorization of 9925


5 9925
5 1985
397 397
1

Prime factors of 9925 are 5,397. Prime factorization of 9925 in exponential form is:

9925 = 52×3971

∴ So by taking common prime factors GCF of 9920 and 9925 is 5

Greatest Common Factor of 9920 and 9925 by matching factors method

Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920

Factors of 9925

List of positive integer factors of 9925 that divides 9925 without a remainder.

1,5,25,397,1985,9925

Greatest Common Factor

We found the factors and prime factorization of 9920 and 9925. The biggest common factor number is the GCF number.
So the greatest common factor 9920 and 9925 is 5.

Also check out the Least Common Multiple of 9920 and 9925

Properties of GCF 9920 and 9925

(i) The GCF of 9920 and 9925 is associative

GCF of 9920 and 9925 = GCF of 9925 and 9920

Related Greatest Common Factor of 9920

Related Greatest Common Factor of 9925

Frequently Asked Questions on GCF of 9920 and 9925

1. What is the GCF of 9920 and 9925?

Answer: GCF of 9920 and 9925 is 5.

2. What are the Factors of 9920?

Answer: Factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920. There are 28 integers that are factors of 9920. The greatest factor of 9920 is 9920.

3. What are the Factors of 9925?

Answer: Factors of 9925 are 1, 5, 25, 397, 1985, 9925. There are 6 integers that are factors of 9925. The greatest factor of 9925 is 9925.

4. How to Find the GCF of 9920 and 9925?

Answer:

Greatest Common Factor of 9920 and 9925 = 5

Step 1: Find the prime factorization of 9920

9920 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 31

Step 2: Find the prime factorization of 9925

9925 = 5 x 5 x 397

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 9920 and 9925 is 5