What is the Greatest Common Factor of 48300 and 48310?

Greatest common factor (GCF) of 48300 and 48310 is 10.

GCF(48300,48310) = 10

We will now calculate the prime factors of 48300 and 48310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48300 and 48310.

How to find the GCF of 48300 and 48310?

We will first find the prime factorization of 48300 and 48310. After we will calculate the factors of 48300 and 48310 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 48310

Prime factors of 48310 are 2, 5, 4831. Prime factorization of 48310 in exponential form is:

48310 = 2¹ × 5¹ × 4831¹

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 48310

List of positive integer factors of 48310 that divides 48300 without a remainder.

1, 2, 5, 10, 4831, 9662, 24155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48300 and 48310. The biggest common factor number is the GCF number.
So the greatest common factor 48300 and 48310 is 10.

Also check out the Least Common Multiple of 48300 and 48310