What is the Greatest Common Factor of 94860 and 94878?

Greatest common factor (GCF) of 94860 and 94878 is 18.

GCF(94860,94878) = 18

We will now calculate the prime factors of 94860 and 94878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94860 and 94878.

How to find the GCF of 94860 and 94878?

We will first find the prime factorization of 94860 and 94878. After we will calculate the factors of 94860 and 94878 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94878

Prime factors of 94878 are 2, 3, 7, 251. Prime factorization of 94878 in exponential form is:

94878 = 2¹ × 3³ × 7¹ × 251¹

Step-3: Factors of 94860

List of positive integer factors of 94860 that divides 94860 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

Step-4: Factors of 94878

List of positive integer factors of 94878 that divides 94860 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 251, 378, 502, 753, 1506, 1757, 2259, 3514, 4518, 5271, 6777, 10542, 13554, 15813, 31626, 47439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94860 and 94878. The biggest common factor number is the GCF number.
So the greatest common factor 94860 and 94878 is 18.

Also check out the Least Common Multiple of 94860 and 94878