What is the Greatest Common Factor of 99956 and 99969?

Greatest common factor (GCF) of 99956 and 99969 is 1.

GCF(99956,99969) = 1

We will now calculate the prime factors of 99956 and 99969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99956 and 99969.

How to find the GCF of 99956 and 99969?

We will first find the prime factorization of 99956 and 99969. After we will calculate the factors of 99956 and 99969 and find the biggest common factor number .

Step-1: Prime Factorization of 99956

Prime factors of 99956 are 2, 24989. Prime factorization of 99956 in exponential form is:

99956 = 2² × 24989¹

Step-2: Prime Factorization of 99969

Prime factors of 99969 are 3, 47, 709. Prime factorization of 99969 in exponential form is:

99969 = 3¹ × 47¹ × 709¹

Step-3: Factors of 99956

List of positive integer factors of 99956 that divides 99956 without a remainder.

1, 2, 4, 24989, 49978

Step-4: Factors of 99969

List of positive integer factors of 99969 that divides 99956 without a remainder.

1, 3, 47, 141, 709, 2127, 33323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99956 and 99969. The biggest common factor number is the GCF number.
So the greatest common factor 99956 and 99969 is 1.

Also check out the Least Common Multiple of 99956 and 99969