What is the Greatest Common Factor of 7900 and 7911?

Greatest common factor (GCF) of 7900 and 7911 is 1.

GCF(7900,7911) = 1

We will now calculate the prime factors of 7900 and 7911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7900 and 7911.

How to find the GCF of 7900 and 7911?

We will first find the prime factorization of 7900 and 7911. After we will calculate the factors of 7900 and 7911 and find the biggest common factor number .

Step-1: Prime Factorization of 7900

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

7900 = 2² × 5² × 79¹

Step-2: Prime Factorization of 7911

Prime factors of 7911 are 3, 293. Prime factorization of 7911 in exponential form is:

7911 = 3³ × 293¹

Step-3: 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

Step-4: Factors of 7911

List of positive integer factors of 7911 that divides 7900 without a remainder.

1, 3, 9, 27, 293, 879, 2637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7900 and 7911. The biggest common factor number is the GCF number.
So the greatest common factor 7900 and 7911 is 1.

Also check out the Least Common Multiple of 7900 and 7911