What is the Greatest Common Factor of 99632 and 99645?

Greatest common factor (GCF) of 99632 and 99645 is 13.

GCF(99632,99645) = 13

We will now calculate the prime factors of 99632 and 99645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99632 and 99645.

How to find the GCF of 99632 and 99645?

We will first find the prime factorization of 99632 and 99645. After we will calculate the factors of 99632 and 99645 and find the biggest common factor number .

Step-1: Prime Factorization of 99632

Prime factors of 99632 are 2, 13, 479. Prime factorization of 99632 in exponential form is:

99632 = 2⁴ × 13¹ × 479¹

Step-2: Prime Factorization of 99645

Prime factors of 99645 are 3, 5, 7, 13, 73. Prime factorization of 99645 in exponential form is:

99645 = 3¹ × 5¹ × 7¹ × 13¹ × 73¹

Step-3: Factors of 99632

List of positive integer factors of 99632 that divides 99632 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 479, 958, 1916, 3832, 6227, 7664, 12454, 24908, 49816

Step-4: Factors of 99645

List of positive integer factors of 99645 that divides 99632 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 73, 91, 105, 195, 219, 273, 365, 455, 511, 949, 1095, 1365, 1533, 2555, 2847, 4745, 6643, 7665, 14235, 19929, 33215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99632 and 99645. The biggest common factor number is the GCF number.
So the greatest common factor 99632 and 99645 is 13.

Also check out the Least Common Multiple of 99632 and 99645