What is the Greatest Common Factor of 46789 and 46800?

Greatest common factor (GCF) of 46789 and 46800 is 1.

GCF(46789,46800) = 1

We will now calculate the prime factors of 46789 and 46800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46789 and 46800.

How to find the GCF of 46789 and 46800?

We will first find the prime factorization of 46789 and 46800. After we will calculate the factors of 46789 and 46800 and find the biggest common factor number .

Step-1: Prime Factorization of 46789

Prime factors of 46789 are 71, 659. Prime factorization of 46789 in exponential form is:

46789 = 71¹ × 659¹

Step-2: 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-3: Factors of 46789

List of positive integer factors of 46789 that divides 46789 without a remainder.

1, 71, 659

Step-4: Factors of 46800

List of positive integer factors of 46800 that divides 46789 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46789 and 46800. The biggest common factor number is the GCF number.
So the greatest common factor 46789 and 46800 is 1.

Also check out the Least Common Multiple of 46789 and 46800