What is the Greatest Common Factor of 99550 and 99564?

Greatest common factor (GCF) of 99550 and 99564 is 2.

GCF(99550,99564) = 2

We will now calculate the prime factors of 99550 and 99564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99550 and 99564.

How to find the GCF of 99550 and 99564?

We will first find the prime factorization of 99550 and 99564. After we will calculate the factors of 99550 and 99564 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 99564

Prime factors of 99564 are 2, 3, 8297. Prime factorization of 99564 in exponential form is:

99564 = 2² × 3¹ × 8297¹

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 99564

List of positive integer factors of 99564 that divides 99550 without a remainder.

1, 2, 3, 4, 6, 12, 8297, 16594, 24891, 33188, 49782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99550 and 99564. The biggest common factor number is the GCF number.
So the greatest common factor 99550 and 99564 is 2.

Also check out the Least Common Multiple of 99550 and 99564