What is the Greatest Common Factor of 99550 and 99570?

Greatest common factor (GCF) of 99550 and 99570 is 10.

GCF(99550,99570) = 10

We will now calculate the prime factors of 99550 and 99570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99550 and 99570.

How to find the GCF of 99550 and 99570?

We will first find the prime factorization of 99550 and 99570. After we will calculate the factors of 99550 and 99570 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 99570

Prime factors of 99570 are 2, 3, 5, 3319. Prime factorization of 99570 in exponential form is:

99570 = 2¹ × 3¹ × 5¹ × 3319¹

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 99570

List of positive integer factors of 99570 that divides 99550 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3319, 6638, 9957, 16595, 19914, 33190, 49785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99550 and 99570. The biggest common factor number is the GCF number.
So the greatest common factor 99550 and 99570 is 10.

Also check out the Least Common Multiple of 99550 and 99570