What is the Greatest Common Factor of 96380 and 96400?

Greatest common factor (GCF) of 96380 and 96400 is 20.

GCF(96380,96400) = 20

We will now calculate the prime factors of 96380 and 96400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96380 and 96400.

How to find the GCF of 96380 and 96400?

We will first find the prime factorization of 96380 and 96400. After we will calculate the factors of 96380 and 96400 and find the biggest common factor number .

Step-1: Prime Factorization of 96380

Prime factors of 96380 are 2, 5, 61, 79. Prime factorization of 96380 in exponential form is:

96380 = 2² × 5¹ × 61¹ × 79¹

Step-2: Prime Factorization of 96400

Prime factors of 96400 are 2, 5, 241. Prime factorization of 96400 in exponential form is:

96400 = 2⁴ × 5² × 241¹

Step-3: Factors of 96380

List of positive integer factors of 96380 that divides 96380 without a remainder.

1, 2, 4, 5, 10, 20, 61, 79, 122, 158, 244, 305, 316, 395, 610, 790, 1220, 1580, 4819, 9638, 19276, 24095, 48190

Step-4: Factors of 96400

List of positive integer factors of 96400 that divides 96380 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 241, 400, 482, 964, 1205, 1928, 2410, 3856, 4820, 6025, 9640, 12050, 19280, 24100, 48200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96380 and 96400. The biggest common factor number is the GCF number.
So the greatest common factor 96380 and 96400 is 20.

Also check out the Least Common Multiple of 96380 and 96400