What is the Greatest Common Factor of 27450 and 27465?

Greatest common factor (GCF) of 27450 and 27465 is 15.

GCF(27450,27465) = 15

We will now calculate the prime factors of 27450 and 27465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27450 and 27465.

How to find the GCF of 27450 and 27465?

We will first find the prime factorization of 27450 and 27465. After we will calculate the factors of 27450 and 27465 and find the biggest common factor number .

Step-1: Prime Factorization of 27450

Prime factors of 27450 are 2, 3, 5, 61. Prime factorization of 27450 in exponential form is:

27450 = 2¹ × 3² × 5² × 61¹

Step-2: 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-3: Factors of 27450

List of positive integer factors of 27450 that divides 27450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 61, 75, 90, 122, 150, 183, 225, 305, 366, 450, 549, 610, 915, 1098, 1525, 1830, 2745, 3050, 4575, 5490, 9150, 13725

Step-4: Factors of 27465

List of positive integer factors of 27465 that divides 27450 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27450 and 27465. The biggest common factor number is the GCF number.
So the greatest common factor 27450 and 27465 is 15.

Also check out the Least Common Multiple of 27450 and 27465