What is the Greatest Common Factor of 46800 and 46813?

Greatest common factor (GCF) of 46800 and 46813 is 13.

GCF(46800,46813) = 13

We will now calculate the prime factors of 46800 and 46813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46800 and 46813.

How to find the GCF of 46800 and 46813?

We will first find the prime factorization of 46800 and 46813. After we will calculate the factors of 46800 and 46813 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 46813

Prime factors of 46813 are 13, 277. Prime factorization of 46813 in exponential form is:

46813 = 13² × 277¹

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 46813

List of positive integer factors of 46813 that divides 46800 without a remainder.

1, 13, 169, 277, 3601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46800 and 46813. The biggest common factor number is the GCF number.
So the greatest common factor 46800 and 46813 is 13.

Also check out the Least Common Multiple of 46800 and 46813