What is the Greatest Common Factor of 48180 and 48185?

Greatest common factor (GCF) of 48180 and 48185 is 5.

GCF(48180,48185) = 5

We will now calculate the prime factors of 48180 and 48185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48180 and 48185.

How to find the GCF of 48180 and 48185?

We will first find the prime factorization of 48180 and 48185. After we will calculate the factors of 48180 and 48185 and find the biggest common factor number .

Step-1: Prime Factorization of 48180

Prime factors of 48180 are 2, 3, 5, 11, 73. Prime factorization of 48180 in exponential form is:

48180 = 2² × 3¹ × 5¹ × 11¹ × 73¹

Step-2: Prime Factorization of 48185

Prime factors of 48185 are 5, 23, 419. Prime factorization of 48185 in exponential form is:

48185 = 5¹ × 23¹ × 419¹

Step-3: Factors of 48180

List of positive integer factors of 48180 that divides 48180 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 73, 110, 132, 146, 165, 219, 220, 292, 330, 365, 438, 660, 730, 803, 876, 1095, 1460, 1606, 2190, 2409, 3212, 4015, 4380, 4818, 8030, 9636, 12045, 16060, 24090

Step-4: Factors of 48185

List of positive integer factors of 48185 that divides 48180 without a remainder.

1, 5, 23, 115, 419, 2095, 9637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48180 and 48185. The biggest common factor number is the GCF number.
So the greatest common factor 48180 and 48185 is 5.

Also check out the Least Common Multiple of 48180 and 48185