What is the Greatest Common Factor of 7854 and 7871?

Greatest common factor (GCF) of 7854 and 7871 is 17.

GCF(7854,7871) = 17

We will now calculate the prime factors of 7854 and 7871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7854 and 7871.

How to find the GCF of 7854 and 7871?

We will first find the prime factorization of 7854 and 7871. After we will calculate the factors of 7854 and 7871 and find the biggest common factor number .

Step-1: Prime Factorization of 7854

Prime factors of 7854 are 2, 3, 7, 11, 17. Prime factorization of 7854 in exponential form is:

7854 = 2¹ × 3¹ × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 7871

Prime factors of 7871 are 17, 463. Prime factorization of 7871 in exponential form is:

7871 = 17¹ × 463¹

Step-3: Factors of 7854

List of positive integer factors of 7854 that divides 7854 without a remainder.

1, 2, 3, 6, 7, 11, 14, 17, 21, 22, 33, 34, 42, 51, 66, 77, 102, 119, 154, 187, 231, 238, 357, 374, 462, 561, 714, 1122, 1309, 2618, 3927

Step-4: Factors of 7871

List of positive integer factors of 7871 that divides 7854 without a remainder.

1, 17, 463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7854 and 7871. The biggest common factor number is the GCF number.
So the greatest common factor 7854 and 7871 is 17.

Also check out the Least Common Multiple of 7854 and 7871