What is the Greatest Common Factor of 99934 and 99946?

Greatest common factor (GCF) of 99934 and 99946 is 2.

GCF(99934,99946) = 2

We will now calculate the prime factors of 99934 and 99946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99934 and 99946.

How to find the GCF of 99934 and 99946?

We will first find the prime factorization of 99934 and 99946. After we will calculate the factors of 99934 and 99946 and find the biggest common factor number .

Step-1: Prime Factorization of 99934

Prime factors of 99934 are 2, 29, 1723. Prime factorization of 99934 in exponential form is:

99934 = 2¹ × 29¹ × 1723¹

Step-2: Prime Factorization of 99946

Prime factors of 99946 are 2, 7, 11, 59. Prime factorization of 99946 in exponential form is:

99946 = 2¹ × 7¹ × 11² × 59¹

Step-3: Factors of 99934

List of positive integer factors of 99934 that divides 99934 without a remainder.

1, 2, 29, 58, 1723, 3446, 49967

Step-4: Factors of 99946

List of positive integer factors of 99946 that divides 99934 without a remainder.

1, 2, 7, 11, 14, 22, 59, 77, 118, 121, 154, 242, 413, 649, 826, 847, 1298, 1694, 4543, 7139, 9086, 14278, 49973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99934 and 99946. The biggest common factor number is the GCF number.
So the greatest common factor 99934 and 99946 is 2.

Also check out the Least Common Multiple of 99934 and 99946