What is the Greatest Common Factor of 99020 and 99035?

Greatest common factor (GCF) of 99020 and 99035 is 5.

GCF(99020,99035) = 5

We will now calculate the prime factors of 99020 and 99035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99020 and 99035.

How to find the GCF of 99020 and 99035?

We will first find the prime factorization of 99020 and 99035. After we will calculate the factors of 99020 and 99035 and find the biggest common factor number .

Step-1: Prime Factorization of 99020

Prime factors of 99020 are 2, 5, 4951. Prime factorization of 99020 in exponential form is:

99020 = 2² × 5¹ × 4951¹

Step-2: Prime Factorization of 99035

Prime factors of 99035 are 5, 29, 683. Prime factorization of 99035 in exponential form is:

99035 = 5¹ × 29¹ × 683¹

Step-3: Factors of 99020

List of positive integer factors of 99020 that divides 99020 without a remainder.

1, 2, 4, 5, 10, 20, 4951, 9902, 19804, 24755, 49510

Step-4: Factors of 99035

List of positive integer factors of 99035 that divides 99020 without a remainder.

1, 5, 29, 145, 683, 3415, 19807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99020 and 99035. The biggest common factor number is the GCF number.
So the greatest common factor 99020 and 99035 is 5.

Also check out the Least Common Multiple of 99020 and 99035