What is the Greatest Common Factor of 94854 and 94860?

Greatest common factor (GCF) of 94854 and 94860 is 6.

GCF(94854,94860) = 6

We will now calculate the prime factors of 94854 and 94860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94854 and 94860.

How to find the GCF of 94854 and 94860?

We will first find the prime factorization of 94854 and 94860. After we will calculate the factors of 94854 and 94860 and find the biggest common factor number .

Step-1: Prime Factorization of 94854

Prime factors of 94854 are 2, 3, 15809. Prime factorization of 94854 in exponential form is:

94854 = 2¹ × 3¹ × 15809¹

Step-2: Prime Factorization of 94860

Prime factors of 94860 are 2, 3, 5, 17, 31. Prime factorization of 94860 in exponential form is:

94860 = 2² × 3² × 5¹ × 17¹ × 31¹

Step-3: Factors of 94854

List of positive integer factors of 94854 that divides 94854 without a remainder.

1, 2, 3, 6, 15809, 31618, 47427

Step-4: Factors of 94860

List of positive integer factors of 94860 that divides 94854 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 31, 34, 36, 45, 51, 60, 62, 68, 85, 90, 93, 102, 124, 153, 155, 170, 180, 186, 204, 255, 279, 306, 310, 340, 372, 465, 510, 527, 558, 612, 620, 765, 930, 1020, 1054, 1116, 1395, 1530, 1581, 1860, 2108, 2635, 2790, 3060, 3162, 4743, 5270, 5580, 6324, 7905, 9486, 10540, 15810, 18972, 23715, 31620, 47430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94854 and 94860. The biggest common factor number is the GCF number.
So the greatest common factor 94854 and 94860 is 6.

Also check out the Least Common Multiple of 94854 and 94860