What is the Greatest Common Factor of 99530 and 99535?

Greatest common factor (GCF) of 99530 and 99535 is 5.

GCF(99530,99535) = 5

We will now calculate the prime factors of 99530 and 99535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99530 and 99535.

How to find the GCF of 99530 and 99535?

We will first find the prime factorization of 99530 and 99535. After we will calculate the factors of 99530 and 99535 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 99535

Prime factors of 99535 are 5, 17, 1171. Prime factorization of 99535 in exponential form is:

99535 = 5¹ × 17¹ × 1171¹

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 99535

List of positive integer factors of 99535 that divides 99530 without a remainder.

1, 5, 17, 85, 1171, 5855, 19907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99530 and 99535. The biggest common factor number is the GCF number.
So the greatest common factor 99530 and 99535 is 5.

Also check out the Least Common Multiple of 99530 and 99535