Greatest Common Factor of 7900 and 7907

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 7900, 7907 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7900 and 7907 is 1.

GCF(7900,7907) = 1

GCF of 7900 and 7907

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

GCF of:
and

Greatest Common Factor of 7900 and 7907

GCF of 7900 and 7907 is 1

Prime Factorization of 7900


2 7900
2 3950
5 1975
5 395
79 79
1

Prime factors of 7900 are 2,5,79. Prime factorization of 7900 in exponential form is:

7900 = 22×52×791

Prime Factorization of 7907


7907 7907
1

Prime factors of 7907 are 7907. Prime factorization of 7907 in exponential form is:

7907 = 79071

∴ So by taking common prime factors GCF of 7900 and 7907 is 1

Greatest Common Factor of 7900 and 7907 by matching factors method

Factors of 7900

List of positive integer factors of 7900 that divides 7900 without a remainder.

1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900

Factors of 7907

List of positive integer factors of 7907 that divides 7907 without a remainder.

1,7907

Greatest Common Factor

We found the factors and prime factorization of 7900 and 7907. The biggest common factor number is the GCF number.
So the greatest common factor 7900 and 7907 is 1.

Also check out the Least Common Multiple of 7900 and 7907

Properties of GCF 7900 and 7907

(i) The GCF of 7900 and 7907 is associative

GCF of 7900 and 7907 = GCF of 7907 and 7900

Frequently Asked Questions on GCF of 7900 and 7907

1. What is the GCF of 7900 and 7907?

Answer: GCF of 7900 and 7907 is 1.

2. What are the Factors of 7900?

Answer: Factors of 7900 are 1, 2, 4, 5, 10, 20, 25, 50, 79, 100, 158, 316, 395, 790, 1580, 1975, 3950, 7900. There are 18 integers that are factors of 7900. The greatest factor of 7900 is 7900.

3. What are the Factors of 7907?

Answer: Factors of 7907 are 1, 7907. There are 2 integers that are factors of 7907. The greatest factor of 7907 is 7907.

4. How to Find the GCF of 7900 and 7907?

Answer:

Greatest Common Factor of 7900 and 7907 = 1

Step 1: Find the prime factorization of 7900

7900 = 2 x 2 x 5 x 5 x 79

Step 2: Find the prime factorization of 7907

7907 = 7907

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7900 and 7907 is 1