What is the Greatest Common Factor of 7880 and 7892?

Greatest common factor (GCF) of 7880 and 7892 is 4.

GCF(7880,7892) = 4

We will now calculate the prime factors of 7880 and 7892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7880 and 7892.

How to find the GCF of 7880 and 7892?

We will first find the prime factorization of 7880 and 7892. After we will calculate the factors of 7880 and 7892 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 7892

Prime factors of 7892 are 2, 1973. Prime factorization of 7892 in exponential form is:

7892 = 2² × 1973¹

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 7892

List of positive integer factors of 7892 that divides 7880 without a remainder.

1, 2, 4, 1973, 3946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7880 and 7892. The biggest common factor number is the GCF number.
So the greatest common factor 7880 and 7892 is 4.

Also check out the Least Common Multiple of 7880 and 7892