What is the Greatest Common Factor of 99635 and 99655?

Greatest common factor (GCF) of 99635 and 99655 is 5.

GCF(99635,99655) = 5

We will now calculate the prime factors of 99635 and 99655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99635 and 99655.

How to find the GCF of 99635 and 99655?

We will first find the prime factorization of 99635 and 99655. After we will calculate the factors of 99635 and 99655 and find the biggest common factor number .

Step-1: Prime Factorization of 99635

Prime factors of 99635 are 5, 19927. Prime factorization of 99635 in exponential form is:

99635 = 5¹ × 19927¹

Step-2: Prime Factorization of 99655

Prime factors of 99655 are 5, 19, 1049. Prime factorization of 99655 in exponential form is:

99655 = 5¹ × 19¹ × 1049¹

Step-3: Factors of 99635

List of positive integer factors of 99635 that divides 99635 without a remainder.

1, 5, 19927

Step-4: Factors of 99655

List of positive integer factors of 99655 that divides 99635 without a remainder.

1, 5, 19, 95, 1049, 5245, 19931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99635 and 99655. The biggest common factor number is the GCF number.
So the greatest common factor 99635 and 99655 is 5.

Also check out the Least Common Multiple of 99635 and 99655