What is the Greatest Common Factor of 99892 and 99905?

Greatest common factor (GCF) of 99892 and 99905 is 13.

GCF(99892,99905) = 13

We will now calculate the prime factors of 99892 and 99905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99892 and 99905.

How to find the GCF of 99892 and 99905?

We will first find the prime factorization of 99892 and 99905. After we will calculate the factors of 99892 and 99905 and find the biggest common factor number .

Step-1: Prime Factorization of 99892

Prime factors of 99892 are 2, 13, 17, 113. Prime factorization of 99892 in exponential form is:

99892 = 2² × 13¹ × 17¹ × 113¹

Step-2: Prime Factorization of 99905

Prime factors of 99905 are 5, 13, 29, 53. Prime factorization of 99905 in exponential form is:

99905 = 5¹ × 13¹ × 29¹ × 53¹

Step-3: Factors of 99892

List of positive integer factors of 99892 that divides 99892 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 113, 221, 226, 442, 452, 884, 1469, 1921, 2938, 3842, 5876, 7684, 24973, 49946

Step-4: Factors of 99905

List of positive integer factors of 99905 that divides 99892 without a remainder.

1, 5, 13, 29, 53, 65, 145, 265, 377, 689, 1537, 1885, 3445, 7685, 19981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99892 and 99905. The biggest common factor number is the GCF number.
So the greatest common factor 99892 and 99905 is 13.

Also check out the Least Common Multiple of 99892 and 99905