What is the Greatest Common Factor of 52550 and 52570?

Greatest common factor (GCF) of 52550 and 52570 is 10.

GCF(52550,52570) = 10

We will now calculate the prime factors of 52550 and 52570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52550 and 52570.

How to find the GCF of 52550 and 52570?

We will first find the prime factorization of 52550 and 52570. After we will calculate the factors of 52550 and 52570 and find the biggest common factor number .

Step-1: Prime Factorization of 52550

Prime factors of 52550 are 2, 5, 1051. Prime factorization of 52550 in exponential form is:

52550 = 2¹ × 5² × 1051¹

Step-2: Prime Factorization of 52570

Prime factors of 52570 are 2, 5, 7, 751. Prime factorization of 52570 in exponential form is:

52570 = 2¹ × 5¹ × 7¹ × 751¹

Step-3: Factors of 52550

List of positive integer factors of 52550 that divides 52550 without a remainder.

1, 2, 5, 10, 25, 50, 1051, 2102, 5255, 10510, 26275

Step-4: Factors of 52570

List of positive integer factors of 52570 that divides 52550 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 751, 1502, 3755, 5257, 7510, 10514, 26285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52550 and 52570. The biggest common factor number is the GCF number.
So the greatest common factor 52550 and 52570 is 10.

Also check out the Least Common Multiple of 52550 and 52570