What is the Greatest Common Factor of 99550 and 99561?

Greatest common factor (GCF) of 99550 and 99561 is 11.

GCF(99550,99561) = 11

We will now calculate the prime factors of 99550 and 99561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99550 and 99561.

How to find the GCF of 99550 and 99561?

We will first find the prime factorization of 99550 and 99561. After we will calculate the factors of 99550 and 99561 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 99561

Prime factors of 99561 are 3, 7, 11, 431. Prime factorization of 99561 in exponential form is:

99561 = 3¹ × 7¹ × 11¹ × 431¹

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 99561

List of positive integer factors of 99561 that divides 99550 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 431, 1293, 3017, 4741, 9051, 14223, 33187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99550 and 99561. The biggest common factor number is the GCF number.
So the greatest common factor 99550 and 99561 is 11.

Also check out the Least Common Multiple of 99550 and 99561