What is the Greatest Common Factor of 30480 and 30495?

Greatest common factor (GCF) of 30480 and 30495 is 15.

GCF(30480,30495) = 15

We will now calculate the prime factors of 30480 and 30495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30480 and 30495.

How to find the GCF of 30480 and 30495?

We will first find the prime factorization of 30480 and 30495. After we will calculate the factors of 30480 and 30495 and find the biggest common factor number .

Step-1: Prime Factorization of 30480

Prime factors of 30480 are 2, 3, 5, 127. Prime factorization of 30480 in exponential form is:

30480 = 2⁴ × 3¹ × 5¹ × 127¹

Step-2: Prime Factorization of 30495

Prime factors of 30495 are 3, 5, 19, 107. Prime factorization of 30495 in exponential form is:

30495 = 3¹ × 5¹ × 19¹ × 107¹

Step-3: Factors of 30480

List of positive integer factors of 30480 that divides 30480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 127, 240, 254, 381, 508, 635, 762, 1016, 1270, 1524, 1905, 2032, 2540, 3048, 3810, 5080, 6096, 7620, 10160, 15240

Step-4: Factors of 30495

List of positive integer factors of 30495 that divides 30480 without a remainder.

1, 3, 5, 15, 19, 57, 95, 107, 285, 321, 535, 1605, 2033, 6099, 10165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30480 and 30495. The biggest common factor number is the GCF number.
So the greatest common factor 30480 and 30495 is 15.

Also check out the Least Common Multiple of 30480 and 30495