What is the Greatest Common Factor of 54570 and 54588?

Greatest common factor (GCF) of 54570 and 54588 is 6.

GCF(54570,54588) = 6

We will now calculate the prime factors of 54570 and 54588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54570 and 54588.

How to find the GCF of 54570 and 54588?

We will first find the prime factorization of 54570 and 54588. After we will calculate the factors of 54570 and 54588 and find the biggest common factor number .

Step-1: Prime Factorization of 54570

Prime factors of 54570 are 2, 3, 5, 17, 107. Prime factorization of 54570 in exponential form is:

54570 = 2¹ × 3¹ × 5¹ × 17¹ × 107¹

Step-2: Prime Factorization of 54588

Prime factors of 54588 are 2, 3, 4549. Prime factorization of 54588 in exponential form is:

54588 = 2² × 3¹ × 4549¹

Step-3: Factors of 54570

List of positive integer factors of 54570 that divides 54570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 107, 170, 214, 255, 321, 510, 535, 642, 1070, 1605, 1819, 3210, 3638, 5457, 9095, 10914, 18190, 27285

Step-4: Factors of 54588

List of positive integer factors of 54588 that divides 54570 without a remainder.

1, 2, 3, 4, 6, 12, 4549, 9098, 13647, 18196, 27294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54570 and 54588. The biggest common factor number is the GCF number.
So the greatest common factor 54570 and 54588 is 6.

Also check out the Least Common Multiple of 54570 and 54588