What is the Greatest Common Factor of 54420 and 54435?

Greatest common factor (GCF) of 54420 and 54435 is 15.

GCF(54420,54435) = 15

We will now calculate the prime factors of 54420 and 54435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54420 and 54435.

How to find the GCF of 54420 and 54435?

We will first find the prime factorization of 54420 and 54435. After we will calculate the factors of 54420 and 54435 and find the biggest common factor number .

Step-1: Prime Factorization of 54420

Prime factors of 54420 are 2, 3, 5, 907. Prime factorization of 54420 in exponential form is:

54420 = 2² × 3¹ × 5¹ × 907¹

Step-2: Prime Factorization of 54435

Prime factors of 54435 are 3, 5, 19, 191. Prime factorization of 54435 in exponential form is:

54435 = 3¹ × 5¹ × 19¹ × 191¹

Step-3: Factors of 54420

List of positive integer factors of 54420 that divides 54420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 907, 1814, 2721, 3628, 4535, 5442, 9070, 10884, 13605, 18140, 27210

Step-4: Factors of 54435

List of positive integer factors of 54435 that divides 54420 without a remainder.

1, 3, 5, 15, 19, 57, 95, 191, 285, 573, 955, 2865, 3629, 10887, 18145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54420 and 54435. The biggest common factor number is the GCF number.
So the greatest common factor 54420 and 54435 is 15.

Also check out the Least Common Multiple of 54420 and 54435