What is the Greatest Common Factor of 7880 and 7900?

Greatest common factor (GCF) of 7880 and 7900 is 20.

GCF(7880,7900) = 20

We will now calculate the prime factors of 7880 and 7900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7880 and 7900.

How to find the GCF of 7880 and 7900?

We will first find the prime factorization of 7880 and 7900. After we will calculate the factors of 7880 and 7900 and find the biggest common factor number .

Step-1: Prime Factorization of 7880

Prime factors of 7880 are 2, 5, 197. Prime factorization of 7880 in exponential form is:

7880 = 2³ × 5¹ × 197¹

Step-2: 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-3: Factors of 7880

List of positive integer factors of 7880 that divides 7880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 197, 394, 788, 985, 1576, 1970, 3940

Step-4: Factors of 7900

List of positive integer factors of 7900 that divides 7880 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7880 and 7900. The biggest common factor number is the GCF number.
So the greatest common factor 7880 and 7900 is 20.

Also check out the Least Common Multiple of 7880 and 7900