What is the Greatest Common Factor of 48300 and 48305?

Greatest common factor (GCF) of 48300 and 48305 is 5.

GCF(48300,48305) = 5

We will now calculate the prime factors of 48300 and 48305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48300 and 48305.

How to find the GCF of 48300 and 48305?

We will first find the prime factorization of 48300 and 48305. After we will calculate the factors of 48300 and 48305 and find the biggest common factor number .

Step-1: Prime Factorization of 48300

Prime factors of 48300 are 2, 3, 5, 7, 23. Prime factorization of 48300 in exponential form is:

48300 = 2² × 3¹ × 5² × 7¹ × 23¹

Step-2: Prime Factorization of 48305

Prime factors of 48305 are 5, 9661. Prime factorization of 48305 in exponential form is:

48305 = 5¹ × 9661¹

Step-3: Factors of 48300

List of positive integer factors of 48300 that divides 48300 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 25, 28, 30, 35, 42, 46, 50, 60, 69, 70, 75, 84, 92, 100, 105, 115, 138, 140, 150, 161, 175, 210, 230, 276, 300, 322, 345, 350, 420, 460, 483, 525, 575, 644, 690, 700, 805, 966, 1050, 1150, 1380, 1610, 1725, 1932, 2100, 2300, 2415, 3220, 3450, 4025, 4830, 6900, 8050, 9660, 12075, 16100, 24150

Step-4: Factors of 48305

List of positive integer factors of 48305 that divides 48300 without a remainder.

1, 5, 9661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48300 and 48305. The biggest common factor number is the GCF number.
So the greatest common factor 48300 and 48305 is 5.

Also check out the Least Common Multiple of 48300 and 48305