What is the Greatest Common Factor of 99510 and 99525?

Greatest common factor (GCF) of 99510 and 99525 is 15.

GCF(99510,99525) = 15

We will now calculate the prime factors of 99510 and 99525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99510 and 99525.

How to find the GCF of 99510 and 99525?

We will first find the prime factorization of 99510 and 99525. After we will calculate the factors of 99510 and 99525 and find the biggest common factor number .

Step-1: Prime Factorization of 99510

Prime factors of 99510 are 2, 3, 5, 31, 107. Prime factorization of 99510 in exponential form is:

99510 = 2¹ × 3¹ × 5¹ × 31¹ × 107¹

Step-2: Prime Factorization of 99525

Prime factors of 99525 are 3, 5, 1327. Prime factorization of 99525 in exponential form is:

99525 = 3¹ × 5² × 1327¹

Step-3: Factors of 99510

List of positive integer factors of 99510 that divides 99510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 107, 155, 186, 214, 310, 321, 465, 535, 642, 930, 1070, 1605, 3210, 3317, 6634, 9951, 16585, 19902, 33170, 49755

Step-4: Factors of 99525

List of positive integer factors of 99525 that divides 99510 without a remainder.

1, 3, 5, 15, 25, 75, 1327, 3981, 6635, 19905, 33175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99510 and 99525. The biggest common factor number is the GCF number.
So the greatest common factor 99510 and 99525 is 15.

Also check out the Least Common Multiple of 99510 and 99525