What is the Greatest Common Factor of 53530 and 53545?

Greatest common factor (GCF) of 53530 and 53545 is 5.

GCF(53530,53545) = 5

We will now calculate the prime factors of 53530 and 53545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53530 and 53545.

How to find the GCF of 53530 and 53545?

We will first find the prime factorization of 53530 and 53545. After we will calculate the factors of 53530 and 53545 and find the biggest common factor number .

Step-1: Prime Factorization of 53530

Prime factors of 53530 are 2, 5, 53, 101. Prime factorization of 53530 in exponential form is:

53530 = 2¹ × 5¹ × 53¹ × 101¹

Step-2: Prime Factorization of 53545

Prime factors of 53545 are 5, 10709. Prime factorization of 53545 in exponential form is:

53545 = 5¹ × 10709¹

Step-3: Factors of 53530

List of positive integer factors of 53530 that divides 53530 without a remainder.

1, 2, 5, 10, 53, 101, 106, 202, 265, 505, 530, 1010, 5353, 10706, 26765

Step-4: Factors of 53545

List of positive integer factors of 53545 that divides 53530 without a remainder.

1, 5, 10709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53530 and 53545. The biggest common factor number is the GCF number.
So the greatest common factor 53530 and 53545 is 5.

Also check out the Least Common Multiple of 53530 and 53545