What is the Greatest Common Factor of 85800 and 85812?

Greatest common factor (GCF) of 85800 and 85812 is 12.

GCF(85800,85812) = 12

We will now calculate the prime factors of 85800 and 85812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85800 and 85812.

How to find the GCF of 85800 and 85812?

We will first find the prime factorization of 85800 and 85812. After we will calculate the factors of 85800 and 85812 and find the biggest common factor number .

Step-1: Prime Factorization of 85800

Prime factors of 85800 are 2, 3, 5, 11, 13. Prime factorization of 85800 in exponential form is:

85800 = 2³ × 3¹ × 5² × 11¹ × 13¹

Step-2: Prime Factorization of 85812

Prime factors of 85812 are 2, 3, 7151. Prime factorization of 85812 in exponential form is:

85812 = 2² × 3¹ × 7151¹

Step-3: Factors of 85800

List of positive integer factors of 85800 that divides 85800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 13, 15, 20, 22, 24, 25, 26, 30, 33, 39, 40, 44, 50, 52, 55, 60, 65, 66, 75, 78, 88, 100, 104, 110, 120, 130, 132, 143, 150, 156, 165, 195, 200, 220, 260, 264, 275, 286, 300, 312, 325, 330, 390, 429, 440, 520, 550, 572, 600, 650, 660, 715, 780, 825, 858, 975, 1100, 1144, 1300, 1320, 1430, 1560, 1650, 1716, 1950, 2145, 2200, 2600, 2860, 3300, 3432, 3575, 3900, 4290, 5720, 6600, 7150, 7800, 8580, 10725, 14300, 17160, 21450, 28600, 42900

Step-4: Factors of 85812

List of positive integer factors of 85812 that divides 85800 without a remainder.

1, 2, 3, 4, 6, 12, 7151, 14302, 21453, 28604, 42906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85800 and 85812. The biggest common factor number is the GCF number.
So the greatest common factor 85800 and 85812 is 12.

Also check out the Least Common Multiple of 85800 and 85812