What is the Greatest Common Factor of 7846 and 7854?

Greatest common factor (GCF) of 7846 and 7854 is 2.

GCF(7846,7854) = 2

We will now calculate the prime factors of 7846 and 7854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7846 and 7854.

How to find the GCF of 7846 and 7854?

We will first find the prime factorization of 7846 and 7854. After we will calculate the factors of 7846 and 7854 and find the biggest common factor number .

Step-1: Prime Factorization of 7846

Prime factors of 7846 are 2, 3923. Prime factorization of 7846 in exponential form is:

7846 = 2¹ × 3923¹

Step-2: 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-3: Factors of 7846

List of positive integer factors of 7846 that divides 7846 without a remainder.

1, 2, 3923

Step-4: Factors of 7854

List of positive integer factors of 7854 that divides 7846 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7846 and 7854. The biggest common factor number is the GCF number.
So the greatest common factor 7846 and 7854 is 2.

Also check out the Least Common Multiple of 7846 and 7854