What is the Greatest Common Factor of 7888 and 7892?

Greatest common factor (GCF) of 7888 and 7892 is 4.

GCF(7888,7892) = 4

We will now calculate the prime factors of 7888 and 7892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7888 and 7892.

How to find the GCF of 7888 and 7892?

We will first find the prime factorization of 7888 and 7892. After we will calculate the factors of 7888 and 7892 and find the biggest common factor number .

Step-1: Prime Factorization of 7888

Prime factors of 7888 are 2, 17, 29. Prime factorization of 7888 in exponential form is:

7888 = 2⁴ × 17¹ × 29¹

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 7888

List of positive integer factors of 7888 that divides 7888 without a remainder.

1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944

Step-4: Factors of 7892

List of positive integer factors of 7892 that divides 7888 without a remainder.

1, 2, 4, 1973, 3946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7888 and 7892. The biggest common factor number is the GCF number.
So the greatest common factor 7888 and 7892 is 4.

Also check out the Least Common Multiple of 7888 and 7892