What is the Greatest Common Factor of 99435 and 99445?

Greatest common factor (GCF) of 99435 and 99445 is 5.

GCF(99435,99445) = 5

We will now calculate the prime factors of 99435 and 99445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99435 and 99445.

How to find the GCF of 99435 and 99445?

We will first find the prime factorization of 99435 and 99445. After we will calculate the factors of 99435 and 99445 and find the biggest common factor number .

Step-1: Prime Factorization of 99435

Prime factors of 99435 are 3, 5, 7, 947. Prime factorization of 99435 in exponential form is:

99435 = 3¹ × 5¹ × 7¹ × 947¹

Step-2: Prime Factorization of 99445

Prime factors of 99445 are 5, 19889. Prime factorization of 99445 in exponential form is:

99445 = 5¹ × 19889¹

Step-3: Factors of 99435

List of positive integer factors of 99435 that divides 99435 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 947, 2841, 4735, 6629, 14205, 19887, 33145

Step-4: Factors of 99445

List of positive integer factors of 99445 that divides 99435 without a remainder.

1, 5, 19889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99435 and 99445. The biggest common factor number is the GCF number.
So the greatest common factor 99435 and 99445 is 5.

Also check out the Least Common Multiple of 99435 and 99445