What is the Greatest Common Factor of 99550 and 99555?

Greatest common factor (GCF) of 99550 and 99555 is 5.

GCF(99550,99555) = 5

We will now calculate the prime factors of 99550 and 99555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99550 and 99555.

How to find the GCF of 99550 and 99555?

We will first find the prime factorization of 99550 and 99555. After we will calculate the factors of 99550 and 99555 and find the biggest common factor number .

Step-1: Prime Factorization of 99550

Prime factors of 99550 are 2, 5, 11, 181. Prime factorization of 99550 in exponential form is:

99550 = 2¹ × 5² × 11¹ × 181¹

Step-2: Prime Factorization of 99555

Prime factors of 99555 are 3, 5, 6637. Prime factorization of 99555 in exponential form is:

99555 = 3¹ × 5¹ × 6637¹

Step-3: Factors of 99550

List of positive integer factors of 99550 that divides 99550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 181, 275, 362, 550, 905, 1810, 1991, 3982, 4525, 9050, 9955, 19910, 49775

Step-4: Factors of 99555

List of positive integer factors of 99555 that divides 99550 without a remainder.

1, 3, 5, 15, 6637, 19911, 33185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99550 and 99555. The biggest common factor number is the GCF number.
So the greatest common factor 99550 and 99555 is 5.

Also check out the Least Common Multiple of 99550 and 99555