What is the Greatest Common Factor of 27435 and 27440?

Greatest common factor (GCF) of 27435 and 27440 is 5.

GCF(27435,27440) = 5

We will now calculate the prime factors of 27435 and 27440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27435 and 27440.

How to find the GCF of 27435 and 27440?

We will first find the prime factorization of 27435 and 27440. After we will calculate the factors of 27435 and 27440 and find the biggest common factor number .

Step-1: Prime Factorization of 27435

Prime factors of 27435 are 3, 5, 31, 59. Prime factorization of 27435 in exponential form is:

27435 = 3¹ × 5¹ × 31¹ × 59¹

Step-2: Prime Factorization of 27440

Prime factors of 27440 are 2, 5, 7. Prime factorization of 27440 in exponential form is:

27440 = 2⁴ × 5¹ × 7³

Step-3: Factors of 27435

List of positive integer factors of 27435 that divides 27435 without a remainder.

1, 3, 5, 15, 31, 59, 93, 155, 177, 295, 465, 885, 1829, 5487, 9145

Step-4: Factors of 27440

List of positive integer factors of 27440 that divides 27435 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 343, 392, 490, 560, 686, 784, 980, 1372, 1715, 1960, 2744, 3430, 3920, 5488, 6860, 13720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27435 and 27440. The biggest common factor number is the GCF number.
So the greatest common factor 27435 and 27440 is 5.

Also check out the Least Common Multiple of 27435 and 27440