What is the Greatest Common Factor of 46800 and 46807?

Greatest common factor (GCF) of 46800 and 46807 is 1.

GCF(46800,46807) = 1

We will now calculate the prime factors of 46800 and 46807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46800 and 46807.

How to find the GCF of 46800 and 46807?

We will first find the prime factorization of 46800 and 46807. After we will calculate the factors of 46800 and 46807 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 46807

Prime factors of 46807 are 46807. Prime factorization of 46807 in exponential form is:

46807 = 46807¹

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 46807

List of positive integer factors of 46807 that divides 46800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46800 and 46807. The biggest common factor number is the GCF number.
So the greatest common factor 46800 and 46807 is 1.

Also check out the Least Common Multiple of 46800 and 46807