What is the Greatest Common Factor of 27465 and 27480?

Greatest common factor (GCF) of 27465 and 27480 is 15.

GCF(27465,27480) = 15

We will now calculate the prime factors of 27465 and 27480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27465 and 27480.

How to find the GCF of 27465 and 27480?

We will first find the prime factorization of 27465 and 27480. After we will calculate the factors of 27465 and 27480 and find the biggest common factor number .

Step-1: Prime Factorization of 27465

Prime factors of 27465 are 3, 5, 1831. Prime factorization of 27465 in exponential form is:

27465 = 3¹ × 5¹ × 1831¹

Step-2: Prime Factorization of 27480

Prime factors of 27480 are 2, 3, 5, 229. Prime factorization of 27480 in exponential form is:

27480 = 2³ × 3¹ × 5¹ × 229¹

Step-3: Factors of 27465

List of positive integer factors of 27465 that divides 27465 without a remainder.

1, 3, 5, 15, 1831, 5493, 9155

Step-4: Factors of 27480

List of positive integer factors of 27480 that divides 27465 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 229, 458, 687, 916, 1145, 1374, 1832, 2290, 2748, 3435, 4580, 5496, 6870, 9160, 13740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27465 and 27480. The biggest common factor number is the GCF number.
So the greatest common factor 27465 and 27480 is 15.

Also check out the Least Common Multiple of 27465 and 27480