What is the Greatest Common Factor of 27420 and 27435?

Greatest common factor (GCF) of 27420 and 27435 is 15.

GCF(27420,27435) = 15

We will now calculate the prime factors of 27420 and 27435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27420 and 27435.

How to find the GCF of 27420 and 27435?

We will first find the prime factorization of 27420 and 27435. After we will calculate the factors of 27420 and 27435 and find the biggest common factor number .

Step-1: Prime Factorization of 27420

Prime factors of 27420 are 2, 3, 5, 457. Prime factorization of 27420 in exponential form is:

27420 = 2² × 3¹ × 5¹ × 457¹

Step-2: 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-3: Factors of 27420

List of positive integer factors of 27420 that divides 27420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 457, 914, 1371, 1828, 2285, 2742, 4570, 5484, 6855, 9140, 13710

Step-4: Factors of 27435

List of positive integer factors of 27435 that divides 27420 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27420 and 27435. The biggest common factor number is the GCF number.
So the greatest common factor 27420 and 27435 is 15.

Also check out the Least Common Multiple of 27420 and 27435