What is the Greatest Common Factor of 99530 and 99545?

Greatest common factor (GCF) of 99530 and 99545 is 5.

GCF(99530,99545) = 5

We will now calculate the prime factors of 99530 and 99545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99530 and 99545.

How to find the GCF of 99530 and 99545?

We will first find the prime factorization of 99530 and 99545. After we will calculate the factors of 99530 and 99545 and find the biggest common factor number .

Step-1: Prime Factorization of 99530

Prime factors of 99530 are 2, 5, 37, 269. Prime factorization of 99530 in exponential form is:

99530 = 2¹ × 5¹ × 37¹ × 269¹

Step-2: Prime Factorization of 99545

Prime factors of 99545 are 5, 43, 463. Prime factorization of 99545 in exponential form is:

99545 = 5¹ × 43¹ × 463¹

Step-3: Factors of 99530

List of positive integer factors of 99530 that divides 99530 without a remainder.

1, 2, 5, 10, 37, 74, 185, 269, 370, 538, 1345, 2690, 9953, 19906, 49765

Step-4: Factors of 99545

List of positive integer factors of 99545 that divides 99530 without a remainder.

1, 5, 43, 215, 463, 2315, 19909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99530 and 99545. The biggest common factor number is the GCF number.
So the greatest common factor 99530 and 99545 is 5.

Also check out the Least Common Multiple of 99530 and 99545