What is the Greatest Common Factor of 7856 and 7875?

Greatest common factor (GCF) of 7856 and 7875 is 1.

GCF(7856,7875) = 1

We will now calculate the prime factors of 7856 and 7875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7856 and 7875.

How to find the GCF of 7856 and 7875?

We will first find the prime factorization of 7856 and 7875. After we will calculate the factors of 7856 and 7875 and find the biggest common factor number .

Step-1: Prime Factorization of 7856

Prime factors of 7856 are 2, 491. Prime factorization of 7856 in exponential form is:

7856 = 2⁴ × 491¹

Step-2: Prime Factorization of 7875

Prime factors of 7875 are 3, 5, 7. Prime factorization of 7875 in exponential form is:

7875 = 3² × 5³ × 7¹

Step-3: Factors of 7856

List of positive integer factors of 7856 that divides 7856 without a remainder.

1, 2, 4, 8, 16, 491, 982, 1964, 3928

Step-4: Factors of 7875

List of positive integer factors of 7875 that divides 7856 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 125, 175, 225, 315, 375, 525, 875, 1125, 1575, 2625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7856 and 7875. The biggest common factor number is the GCF number.
So the greatest common factor 7856 and 7875 is 1.

Also check out the Least Common Multiple of 7856 and 7875