What is the Greatest Common Factor of 46780 and 46800?

Greatest common factor (GCF) of 46780 and 46800 is 20.

GCF(46780,46800) = 20

We will now calculate the prime factors of 46780 and 46800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46780 and 46800.

How to find the GCF of 46780 and 46800?

We will first find the prime factorization of 46780 and 46800. After we will calculate the factors of 46780 and 46800 and find the biggest common factor number .

Step-1: Prime Factorization of 46780

Prime factors of 46780 are 2, 5, 2339. Prime factorization of 46780 in exponential form is:

46780 = 2² × 5¹ × 2339¹

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 46780

List of positive integer factors of 46780 that divides 46780 without a remainder.

1, 2, 4, 5, 10, 20, 2339, 4678, 9356, 11695, 23390

Step-4: Factors of 46800

List of positive integer factors of 46800 that divides 46780 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 46780 and 46800. The biggest common factor number is the GCF number.
So the greatest common factor 46780 and 46800 is 20.

Also check out the Least Common Multiple of 46780 and 46800