What is the Greatest Common Factor of 7854 and 7860?

Greatest common factor (GCF) of 7854 and 7860 is 6.

GCF(7854,7860) = 6

We will now calculate the prime factors of 7854 and 7860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7854 and 7860.

How to find the GCF of 7854 and 7860?

We will first find the prime factorization of 7854 and 7860. After we will calculate the factors of 7854 and 7860 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 7860

Prime factors of 7860 are 2, 3, 5, 131. Prime factorization of 7860 in exponential form is:

7860 = 2² × 3¹ × 5¹ × 131¹

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 7860

List of positive integer factors of 7860 that divides 7854 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 131, 262, 393, 524, 655, 786, 1310, 1572, 1965, 2620, 3930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7854 and 7860. The biggest common factor number is the GCF number.
So the greatest common factor 7854 and 7860 is 6.

Also check out the Least Common Multiple of 7854 and 7860