What is the Greatest Common Factor of 46380 and 46400?

Greatest common factor (GCF) of 46380 and 46400 is 20.

GCF(46380,46400) = 20

We will now calculate the prime factors of 46380 and 46400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46380 and 46400.

How to find the GCF of 46380 and 46400?

We will first find the prime factorization of 46380 and 46400. After we will calculate the factors of 46380 and 46400 and find the biggest common factor number .

Step-1: Prime Factorization of 46380

Prime factors of 46380 are 2, 3, 5, 773. Prime factorization of 46380 in exponential form is:

46380 = 2² × 3¹ × 5¹ × 773¹

Step-2: Prime Factorization of 46400

Prime factors of 46400 are 2, 5, 29. Prime factorization of 46400 in exponential form is:

46400 = 2⁶ × 5² × 29¹

Step-3: Factors of 46380

List of positive integer factors of 46380 that divides 46380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 773, 1546, 2319, 3092, 3865, 4638, 7730, 9276, 11595, 15460, 23190

Step-4: Factors of 46400

List of positive integer factors of 46400 that divides 46380 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 29, 32, 40, 50, 58, 64, 80, 100, 116, 145, 160, 200, 232, 290, 320, 400, 464, 580, 725, 800, 928, 1160, 1450, 1600, 1856, 2320, 2900, 4640, 5800, 9280, 11600, 23200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46380 and 46400. The biggest common factor number is the GCF number.
So the greatest common factor 46380 and 46400 is 20.

Also check out the Least Common Multiple of 46380 and 46400