What is the Greatest Common Factor of 57300 and 57305?

Greatest common factor (GCF) of 57300 and 57305 is 5.

GCF(57300,57305) = 5

We will now calculate the prime factors of 57300 and 57305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57300 and 57305.

How to find the GCF of 57300 and 57305?

We will first find the prime factorization of 57300 and 57305. After we will calculate the factors of 57300 and 57305 and find the biggest common factor number .

Step-1: Prime Factorization of 57300

Prime factors of 57300 are 2, 3, 5, 191. Prime factorization of 57300 in exponential form is:

57300 = 2² × 3¹ × 5² × 191¹

Step-2: Prime Factorization of 57305

Prime factors of 57305 are 5, 73, 157. Prime factorization of 57305 in exponential form is:

57305 = 5¹ × 73¹ × 157¹

Step-3: Factors of 57300

List of positive integer factors of 57300 that divides 57300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 191, 300, 382, 573, 764, 955, 1146, 1910, 2292, 2865, 3820, 4775, 5730, 9550, 11460, 14325, 19100, 28650

Step-4: Factors of 57305

List of positive integer factors of 57305 that divides 57300 without a remainder.

1, 5, 73, 157, 365, 785, 11461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57300 and 57305. The biggest common factor number is the GCF number.
So the greatest common factor 57300 and 57305 is 5.

Also check out the Least Common Multiple of 57300 and 57305