What is the Greatest Common Factor of 27450 and 27455?

Greatest common factor (GCF) of 27450 and 27455 is 5.

GCF(27450,27455) = 5

We will now calculate the prime factors of 27450 and 27455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27450 and 27455.

How to find the GCF of 27450 and 27455?

We will first find the prime factorization of 27450 and 27455. After we will calculate the factors of 27450 and 27455 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 27455

Prime factors of 27455 are 5, 17, 19. Prime factorization of 27455 in exponential form is:

27455 = 5¹ × 17² × 19¹

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 27455

List of positive integer factors of 27455 that divides 27450 without a remainder.

1, 5, 17, 19, 85, 95, 289, 323, 1445, 1615, 5491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27450 and 27455. The biggest common factor number is the GCF number.
So the greatest common factor 27450 and 27455 is 5.

Also check out the Least Common Multiple of 27450 and 27455