Greatest Common Factor of 7975 and 7980

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 7975, 7980 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7975 and 7980 is 5.

GCF(7975,7980) = 5

GCF of 7975 and 7980

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

GCF of:
and

Greatest Common Factor of 7975 and 7980

GCF of 7975 and 7980 is 5

Prime Factorization of 7975


5 7975
5 1595
11 319
29 29
1

Prime factors of 7975 are 5,11,29. Prime factorization of 7975 in exponential form is:

7975 = 52×111×291

Prime Factorization of 7980


2 7980
2 3990
3 1995
5 665
7 133
19 19
1

Prime factors of 7980 are 2,3,5,7,19. Prime factorization of 7980 in exponential form is:

7980 = 22×31×51×71×191

∴ So by taking common prime factors GCF of 7975 and 7980 is 5

Greatest Common Factor of 7975 and 7980 by matching factors method

Factors of 7975

List of positive integer factors of 7975 that divides 7975 without a remainder.

1,5,11,25,29,55,145,275,319,725,1595,7975

Factors of 7980

List of positive integer factors of 7980 that divides 7980 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,19,20,21,28,30,35,38,42,57,60,70,76,84,95,105,114,133,140,190,210,228,266,285,380,399,420,532,570,665,798,1140,1330,1596,1995,2660,3990,7980

Greatest Common Factor

We found the factors and prime factorization of 7975 and 7980. The biggest common factor number is the GCF number.
So the greatest common factor 7975 and 7980 is 5.

Also check out the Least Common Multiple of 7975 and 7980

Properties of GCF 7975 and 7980

(i) The GCF of 7975 and 7980 is associative

GCF of 7975 and 7980 = GCF of 7980 and 7975

Related Greatest Common Factor of 7975

Related Greatest Common Factor of 7980

Frequently Asked Questions on GCF of 7975 and 7980

1. What is the GCF of 7975 and 7980?

Answer: GCF of 7975 and 7980 is 5.

2. What are the Factors of 7975?

Answer: Factors of 7975 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975. There are 12 integers that are factors of 7975. The greatest factor of 7975 is 7975.

3. What are the Factors of 7980?

Answer: Factors of 7980 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 19, 20, 21, 28, 30, 35, 38, 42, 57, 60, 70, 76, 84, 95, 105, 114, 133, 140, 190, 210, 228, 266, 285, 380, 399, 420, 532, 570, 665, 798, 1140, 1330, 1596, 1995, 2660, 3990, 7980. There are 48 integers that are factors of 7980. The greatest factor of 7980 is 7980.

4. How to Find the GCF of 7975 and 7980?

Answer:

Greatest Common Factor of 7975 and 7980 = 5

Step 1: Find the prime factorization of 7975

7975 = 5 x 5 x 11 x 29

Step 2: Find the prime factorization of 7980

7980 = 2 x 2 x 3 x 5 x 7 x 19

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 7975 and 7980 is 5