What is the Greatest Common Factor of 46800 and 46810?

Greatest common factor (GCF) of 46800 and 46810 is 10.

GCF(46800,46810) = 10

We will now calculate the prime factors of 46800 and 46810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46800 and 46810.

How to find the GCF of 46800 and 46810?

We will first find the prime factorization of 46800 and 46810. After we will calculate the factors of 46800 and 46810 and find the biggest common factor number .

Step-1: Prime Factorization of 46800

Prime factors of 46800 are 2, 3, 5, 13. Prime factorization of 46800 in exponential form is:

46800 = 2⁴ × 3² × 5² × 13¹

Step-2: Prime Factorization of 46810

Prime factors of 46810 are 2, 5, 31, 151. Prime factorization of 46810 in exponential form is:

46810 = 2¹ × 5¹ × 31¹ × 151¹

Step-3: Factors of 46800

List of positive integer factors of 46800 that divides 46800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 18, 20, 24, 25, 26, 30, 36, 39, 40, 45, 48, 50, 52, 60, 65, 72, 75, 78, 80, 90, 100, 104, 117, 120, 130, 144, 150, 156, 180, 195, 200, 208, 225, 234, 240, 260, 300, 312, 325, 360, 390, 400, 450, 468, 520, 585, 600, 624, 650, 720, 780, 900, 936, 975, 1040, 1170, 1200, 1300, 1560, 1800, 1872, 1950, 2340, 2600, 2925, 3120, 3600, 3900, 4680, 5200, 5850, 7800, 9360, 11700, 15600, 23400

Step-4: Factors of 46810

List of positive integer factors of 46810 that divides 46800 without a remainder.

1, 2, 5, 10, 31, 62, 151, 155, 302, 310, 755, 1510, 4681, 9362, 23405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46800 and 46810. The biggest common factor number is the GCF number.
So the greatest common factor 46800 and 46810 is 10.

Also check out the Least Common Multiple of 46800 and 46810