What is the Greatest Common Factor of 85800 and 85810?

Greatest common factor (GCF) of 85800 and 85810 is 10.

GCF(85800,85810) = 10

We will now calculate the prime factors of 85800 and 85810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85800 and 85810.

How to find the GCF of 85800 and 85810?

We will first find the prime factorization of 85800 and 85810. After we will calculate the factors of 85800 and 85810 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 85810

Prime factors of 85810 are 2, 5, 8581. Prime factorization of 85810 in exponential form is:

85810 = 2¹ × 5¹ × 8581¹

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 85810

List of positive integer factors of 85810 that divides 85800 without a remainder.

1, 2, 5, 10, 8581, 17162, 42905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85800 and 85810. The biggest common factor number is the GCF number.
So the greatest common factor 85800 and 85810 is 10.

Also check out the Least Common Multiple of 85800 and 85810