What is the Greatest Common Factor of 99905 and 99920?

Greatest common factor (GCF) of 99905 and 99920 is 5.

GCF(99905,99920) = 5

We will now calculate the prime factors of 99905 and 99920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99905 and 99920.

How to find the GCF of 99905 and 99920?

We will first find the prime factorization of 99905 and 99920. After we will calculate the factors of 99905 and 99920 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99920

Prime factors of 99920 are 2, 5, 1249. Prime factorization of 99920 in exponential form is:

99920 = 2⁴ × 5¹ × 1249¹

Step-3: Factors of 99905

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

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

Step-4: Factors of 99920

List of positive integer factors of 99920 that divides 99905 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1249, 2498, 4996, 6245, 9992, 12490, 19984, 24980, 49960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99905 and 99920. The biggest common factor number is the GCF number.
So the greatest common factor 99905 and 99920 is 5.

Also check out the Least Common Multiple of 99905 and 99920