What is the Greatest Common Factor of 99698 and 99705?

Greatest common factor (GCF) of 99698 and 99705 is 1.

GCF(99698,99705) = 1

We will now calculate the prime factors of 99698 and 99705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99698 and 99705.

How to find the GCF of 99698 and 99705?

We will first find the prime factorization of 99698 and 99705. After we will calculate the factors of 99698 and 99705 and find the biggest common factor number .

Step-1: Prime Factorization of 99698

Prime factors of 99698 are 2, 79, 631. Prime factorization of 99698 in exponential form is:

99698 = 2¹ × 79¹ × 631¹

Step-2: Prime Factorization of 99705

Prime factors of 99705 are 3, 5, 17, 23. Prime factorization of 99705 in exponential form is:

99705 = 3¹ × 5¹ × 17² × 23¹

Step-3: Factors of 99698

List of positive integer factors of 99698 that divides 99698 without a remainder.

1, 2, 79, 158, 631, 1262, 49849

Step-4: Factors of 99705

List of positive integer factors of 99705 that divides 99698 without a remainder.

1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 289, 345, 391, 867, 1173, 1445, 1955, 4335, 5865, 6647, 19941, 33235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99698 and 99705. The biggest common factor number is the GCF number.
So the greatest common factor 99698 and 99705 is 1.

Also check out the Least Common Multiple of 99698 and 99705