What is the Greatest Common Factor of 48300 and 48316?

Greatest common factor (GCF) of 48300 and 48316 is 4.

GCF(48300,48316) = 4

We will now calculate the prime factors of 48300 and 48316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48300 and 48316.

How to find the GCF of 48300 and 48316?

We will first find the prime factorization of 48300 and 48316. After we will calculate the factors of 48300 and 48316 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 48316

Prime factors of 48316 are 2, 47, 257. Prime factorization of 48316 in exponential form is:

48316 = 2² × 47¹ × 257¹

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 48316

List of positive integer factors of 48316 that divides 48300 without a remainder.

1, 2, 4, 47, 94, 188, 257, 514, 1028, 12079, 24158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48300 and 48316. The biggest common factor number is the GCF number.
So the greatest common factor 48300 and 48316 is 4.

Also check out the Least Common Multiple of 48300 and 48316