What is the Greatest Common Factor of 57530 and 57550?

Greatest common factor (GCF) of 57530 and 57550 is 10.

GCF(57530,57550) = 10

We will now calculate the prime factors of 57530 and 57550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57530 and 57550.

How to find the GCF of 57530 and 57550?

We will first find the prime factorization of 57530 and 57550. After we will calculate the factors of 57530 and 57550 and find the biggest common factor number .

Step-1: Prime Factorization of 57530

Prime factors of 57530 are 2, 5, 11, 523. Prime factorization of 57530 in exponential form is:

57530 = 2¹ × 5¹ × 11¹ × 523¹

Step-2: Prime Factorization of 57550

Prime factors of 57550 are 2, 5, 1151. Prime factorization of 57550 in exponential form is:

57550 = 2¹ × 5² × 1151¹

Step-3: Factors of 57530

List of positive integer factors of 57530 that divides 57530 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 523, 1046, 2615, 5230, 5753, 11506, 28765

Step-4: Factors of 57550

List of positive integer factors of 57550 that divides 57530 without a remainder.

1, 2, 5, 10, 25, 50, 1151, 2302, 5755, 11510, 28775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57530 and 57550. The biggest common factor number is the GCF number.
So the greatest common factor 57530 and 57550 is 10.

Also check out the Least Common Multiple of 57530 and 57550